400775086080 has 384 divisors, whose sum is σ = 1397587875840. Its totient is φ = 106239098880.

The previous prime is 400775086069. The next prime is 400775086099. The reversal of 400775086080 is 80680577004.

400775086080 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 7 + 508 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281640249 + ... + 281641671.

It is an arithmetic number, because the mean of its divisors is an integer number (3639551760).

Almost surely, 2^400775086080 is an apocalyptic number.

400775086080 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 400775086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698793937920).

400775086080 is an abundant number, since it is smaller than the sum of its proper divisors (996812789760).

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

400775086080 is a wasteful number, since it uses less digits than its factorization.

400775086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 400775086080 in words is "four hundred billion, seven hundred seventy-five million, eighty-six thousand, eighty".