400809876480 has 528 divisors, whose sum is σ = 1551082382304. Its totient is φ = 98656911360.

The previous prime is 400809876473. The next prime is 400809876491. The reversal of 400809876480 is 84678908004.

400809876480 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 0 + 98 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16161690 + ... + 16186470.

Almost surely, 2^400809876480 is an apocalyptic number.

400809876480 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 400809876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775541191152).

400809876480 is an abundant number, since it is smaller than the sum of its proper divisors (1150272505824).

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

400809876480 is a wasteful number, since it uses less digits than its factorization.

400809876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24834 (or 24804 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 400809876480 in words is "four hundred billion, eight hundred nine million, eight hundred seventy-six thousand, four hundred eighty".