400796836128 has 432 divisors, whose sum is σ = 1291699936800. Its totient is φ = 122185469952.

The previous prime is 400796836127. The next prime is 400796836163. The reversal of 400796836128 is 821638697004.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (400796836127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148496923 + ... + 148499621.

It is an arithmetic number, because the mean of its divisors is an integer number (2990046150).

Almost surely, 2^400796836128 is an apocalyptic number.

400796836128 is a gapful number since it is divisible by the number (48) 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 400796836128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645849968400).

400796836128 is an abundant number, since it is smaller than the sum of its proper divisors (890903100672).

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

400796836128 is a wasteful number, since it uses less digits than its factorization.

400796836128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 400796836128 in words is "four hundred billion, seven hundred ninety-six million, eight hundred thirty-six thousand, one hundred twenty-eight".