10031440032 has 192 divisors, whose sum is σ = 31091558400. Its totient is φ = 3137667840.

The previous prime is 10031439983. The next prime is 10031440043. The reversal of 10031440032 is 23004413001.

It is a super-2 number, since 2×10031440032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10031439987 and 10031440014.

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, 1753657 + ... + 1759367.

It is an arithmetic number, because the mean of its divisors is an integer number (161935200).

Almost surely, 2^10031440032 is an apocalyptic number.

10031440032 is a gapful number since it is divisible by the number (12) 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 10031440032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545779200).

10031440032 is an abundant number, since it is smaller than the sum of its proper divisors (21060118368).

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

10031440032 is a wasteful number, since it uses less digits than its factorization.

10031440032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10031440032 its reverse (23004413001), we get a palindrome (33035853033).

The spelling of 10031440032 in words is "ten billion, thirty-one million, four hundred forty thousand, thirty-two".