400818242160 has 800 divisors, whose sum is σ = 1617061501440. Its totient is φ = 90127448064.

The previous prime is 400818242159. The next prime is 400818242171. The reversal of 400818242160 is 61242818004.

400818242160 is a `hidden beast` number, since 400 + 8 + 1 + 8 + 242 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1305596727 + ... + 1305597033.

Almost surely, 2^400818242160 is an apocalyptic number.

400818242160 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 400818242160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808530750720).

400818242160 is an abundant number, since it is smaller than the sum of its proper divisors (1216243259280).

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

400818242160 is a wasteful number, since it uses less digits than its factorization.

400818242160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 400818242160 in words is "four hundred billion, eight hundred eighteen million, two hundred forty-two thousand, one hundred sixty".