10413022032 has 120 divisors (see below), whose sum is σ = 33327081216. Its totient is φ = 2973189888.

The previous prime is 10413022021. The next prime is 10413022057. The reversal of 10413022032 is 23022031401.

10413022032 is a `hidden beast` number, since 1 + 0 + 413 + 0 + 220 + 32 = 666.

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 = 10413021996 and 10413022014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2303038 + ... + 2307554.

Almost surely, 2^10413022032 is an apocalyptic number.

10413022032 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 10413022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663540608).

10413022032 is an abundant number, since it is smaller than the sum of its proper divisors (22914059184).

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

10413022032 is a wasteful number, since it uses less digits than its factorization.

10413022032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6825 (or 6816 counting only the distinct ones).

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

Adding to 10413022032 its reverse (23022031401), we get a palindrome (33435053433).

The spelling of 10413022032 in words is "ten billion, four hundred thirteen million, twenty-two thousand, thirty-two".