400757849856 has 1620 divisors, whose sum is σ = 1617964918416. Its totient is φ = 96268124160.

The previous prime is 400757849831. The next prime is 400757849881. The reversal of 400757849856 is 658948757004.

400757849856 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 578 + 4 + 9 + 8 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (400757849831) and next prime (400757849881).

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

It is a junction number, because it is equal to n+sod(n) for n = 400757849793 and 400757849802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 12927672561 + ... + 12927672591.

Almost surely, 2^400757849856 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 400757849856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808982459208).

400757849856 is an abundant number, since it is smaller than the sum of its proper divisors (1217207068560).

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

400757849856 is a wasteful number, since it uses less digits than its factorization.

400757849856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 400757849856 in words is "four hundred billion, seven hundred fifty-seven million, eight hundred forty-nine thousand, eight hundred fifty-six".