400887698688 has 432 divisors, whose sum is σ = 1263946285056. Its totient is φ = 126538536960.

The previous prime is 400887698677. The next prime is 400887698711. The reversal of 400887698688 is 886896788004.

400887698688 is a `hidden beast` number, since 400 + 8 + 8 + 7 + 69 + 86 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90634845 + ... + 90639267.

Almost surely, 2^400887698688 is an apocalyptic number.

400887698688 is a gapful number since it is divisible by the number (48) 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 400887698688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631973142528).

400887698688 is an abundant number, since it is smaller than the sum of its proper divisors (863058586368).

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

400887698688 is an equidigital number, since it uses as much as digits as its factorization.

400887698688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 400887698688 in words is "four hundred billion, eight hundred eighty-seven million, six hundred ninety-eight thousand, six hundred eighty-eight".