10409622432 has 96 divisors (see below), whose sum is σ = 30771062784. Its totient is φ = 3052665600.

The previous prime is 10409622409. The next prime is 10409622479. The reversal of 10409622432 is 23422690401.

10409622432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10409622393 and 10409622402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126258 + ... + 191729.

It is an arithmetic number, because the mean of its divisors is an integer number (320531904).

Almost surely, 2^10409622432 is an apocalyptic number.

10409622432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10409622432 is an abundant number, since it is smaller than the sum of its proper divisors (20361440352).

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

10409622432 is a wasteful number, since it uses less digits than its factorization.

10409622432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318042 (or 318034 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 10409622432 in words is "ten billion, four hundred nine million, six hundred twenty-two thousand, four hundred thirty-two".