10405432032 has 24 divisors (see below), whose sum is σ = 27314259336. Its totient is φ = 3468477312.

The previous prime is 10405432021. The next prime is 10405432043. The reversal of 10405432032 is 23023450401.

It is an interprime number because it is at equal distance from previous prime (10405432021) and next prime (10405432043).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10405431993 and 10405432011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54194863 + ... + 54195054.

It is an arithmetic number, because the mean of its divisors is an integer number (1138094139).

Almost surely, 2^10405432032 is an apocalyptic number.

10405432032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10405432032 is an abundant number, since it is smaller than the sum of its proper divisors (16908827304).

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

10405432032 is a wasteful number, since it uses less digits than its factorization.

10405432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108389930 (or 108389922 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 10405432032 its reverse (23023450401), we get a palindrome (33428882433).

The spelling of 10405432032 in words is "ten billion, four hundred five million, four hundred thirty-two thousand, thirty-two".