400796836160 has 224 divisors, whose sum is σ = 1155778191360. Its totient is φ = 129234567168.

The previous prime is 400796836127. The next prime is 400796836163. The reversal of 400796836160 is 61638697004.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 400796836099 and 400796836108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400796836163) 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, 63323876 + ... + 63330204.

Almost surely, 2^400796836160 is an apocalyptic number.

400796836160 is a gapful number since it is divisible by the number (40) 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 400796836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577889095680).

400796836160 is an abundant number, since it is smaller than the sum of its proper divisors (754981355200).

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

400796836160 is a wasteful number, since it uses less digits than its factorization.

400796836160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8033 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 50.

The spelling of 400796836160 in words is "four hundred billion, seven hundred ninety-six million, eight hundred thirty-six thousand, one hundred sixty".