10032113020440 has 256 divisors, whose sum is σ = 36434037427200. Its totient is φ = 2157283639296.

The previous prime is 10032113020411. The next prime is 10032113020477. The reversal of 10032113020440 is 4402031123001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34971672 + ... + 35257368.

It is an arithmetic number, because the mean of its divisors is an integer number (142320458700).

Almost surely, 2^{10032113020440} is an apocalyptic number.

10032113020440 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 10032113020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18217018713600).

10032113020440 is an abundant number, since it is smaller than the sum of its proper divisors (26401924406760).

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

10032113020440 is a wasteful number, since it uses less digits than its factorization.

10032113020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288194 (or 288190 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10032113020440 its reverse (4402031123001), we get a palindrome (14434144143441).

The spelling of 10032113020440 in words is "ten trillion, thirty-two billion, one hundred thirteen million, twenty thousand, four hundred forty".