1021412214240 has 288 divisors, whose sum is σ = 3607396539264. Its totient is φ = 240921077760.

The previous prime is 1021412214239. The next prime is 1021412214241. The reversal of 1021412214240 is 424122141201.

It is a happy number.

1021412214240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1021412214239) and next prime (1021412214241).

It is a super-2 number, since 2×1021412214240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1021412214240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021412214241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7157667 + ... + 7298973.

It is an arithmetic number, because the mean of its divisors is an integer number (12525682428).

Almost surely, 2^{1021412214240} is an apocalyptic number.

1021412214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021412214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803698269632).

1021412214240 is an abundant number, since it is smaller than the sum of its proper divisors (2585984325024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1021412214240 is a wasteful number, since it uses less digits than its factorization.

1021412214240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141410 (or 141365 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1021412214240 its reverse (424122141201), we get a palindrome (1445534355441).

The spelling of 1021412214240 in words is "one trillion, twenty-one billion, four hundred twelve million, two hundred fourteen thousand, two hundred forty".