400876068360 has 128 divisors (see below), whose sum is σ = 1266295536000. Its totient is φ = 101244266496.

The previous prime is 400876068337. The next prime is 400876068361. The reversal of 400876068360 is 63860678004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (400876068361) 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, 8350506 + ... + 8398374.

It is an arithmetic number, because the mean of its divisors is an integer number (9892933875).

Almost surely, 2^400876068360 is an apocalyptic number.

400876068360 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 400876068360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633147768000).

400876068360 is an abundant number, since it is smaller than the sum of its proper divisors (865419467640).

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

400876068360 is a wasteful number, since it uses less digits than its factorization.

400876068360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51575 (or 51571 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 400876068360 in words is "four hundred billion, eight hundred seventy-six million, sixty-eight thousand, three hundred sixty".