10400411232 has 192 divisors, whose sum is σ = 32312468160. Its totient is φ = 3243220992.

The previous prime is 10400411207. The next prime is 10400411237. The reversal of 10400411232 is 23211400401.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400411237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2538978 + ... + 2543070.

It is an arithmetic number, because the mean of its divisors is an integer number (168294105).

Almost surely, 2^10400411232 is an apocalyptic number.

10400411232 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 10400411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156234080).

10400411232 is an abundant number, since it is smaller than the sum of its proper divisors (21912056928).

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

10400411232 is a wasteful number, since it uses less digits than its factorization.

10400411232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10400411232 its reverse (23211400401), we get a palindrome (33611811633).

The spelling of 10400411232 in words is "ten billion, four hundred million, four hundred eleven thousand, two hundred thirty-two".