1021114345440 has 192 divisors, whose sum is σ = 3691395348480. Its totient is φ = 232420823040.

The previous prime is 1021114345403. The next prime is 1021114345441. The reversal of 1021114345440 is 445434111201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1021114345398 and 1021114345407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021114345441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167260 + ... + 1438820.

It is an arithmetic number, because the mean of its divisors is an integer number (19226017440).

Almost surely, 2^{1021114345440} is an apocalyptic number.

1021114345440 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 1021114345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845697674240).

1021114345440 is an abundant number, since it is smaller than the sum of its proper divisors (2670281003040).

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

1021114345440 is a wasteful number, since it uses less digits than its factorization.

1021114345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271825 (or 1271817 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1021114345440 its reverse (445434111201), we get a palindrome (1466548456641).

The spelling of 1021114345440 in words is "one trillion, twenty-one billion, one hundred fourteen million, three hundred forty-five thousand, four hundred forty".