1021431210240 has 288 divisors, whose sum is σ = 3730956042240. Its totient is φ = 233298911232.

The previous prime is 1021431210211. The next prime is 1021431210269. The reversal of 1021431210240 is 420121341201.

It is an interprime number because it is at equal distance from previous prime (1021431210211) and next prime (1021431210269).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38667117 + ... + 38693523.

It is an arithmetic number, because the mean of its divisors is an integer number (12954708480).

Almost surely, 2^{1021431210240} is an apocalyptic number.

1021431210240 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 1021431210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865478021120).

1021431210240 is an abundant number, since it is smaller than the sum of its proper divisors (2709524832000).

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

1021431210240 is a wasteful number, since it uses less digits than its factorization.

1021431210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27877 (or 27863 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1021431210240 its reverse (420121341201), we get a palindrome (1441552551441).

The spelling of 1021431210240 in words is "one trillion, twenty-one billion, four hundred thirty-one million, two hundred ten thousand, two hundred forty".