400876933355136 has 640 divisors, whose sum is σ = 1396362564854400. Its totient is φ = 111774601838592.

The previous prime is 400876933355131. The next prime is 400876933355141. The reversal of 400876933355136 is 631553339678004.

400876933355136 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 76 + 9 + 3 + 3 + 3 + 551 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (400876933355131) and next prime (400876933355141).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (400876933355131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3598189800 + ... + 3598301208.

It is an arithmetic number, because the mean of its divisors is an integer number (2181816507585).

Almost surely, 2^{400876933355136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400876933355136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698181282427200).

400876933355136 is an abundant number, since it is smaller than the sum of its proper divisors (995485631499264).

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

400876933355136 is a wasteful number, since it uses less digits than its factorization.

400876933355136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112638 (or 112617 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 400876933355136 in words is "four hundred trillion, eight hundred seventy-six billion, nine hundred thirty-three million, three hundred fifty-five thousand, one hundred thirty-six".