400653955021320 has 7680 divisors, whose sum is σ = 2068077699072000. Its totient is φ = 67310947123200.

The previous prime is 400653955021283. The next prime is 400653955021373. The reversal of 400653955021320 is 23120559356004.

400653955021320 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 5 + 3 + 9 + 5 + 502 + 132 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 483297894666 + ... + 483297895494.

It is an arithmetic number, because the mean of its divisors is an integer number (269280950400).

Almost surely, 2^{400653955021320} is an apocalyptic number.

400653955021320 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 400653955021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034038849536000).

400653955021320 is an abundant number, since it is smaller than the sum of its proper divisors (1667423744050680).

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

400653955021320 is a wasteful number, since it uses less digits than its factorization.

400653955021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 400653955021320 in words is "four hundred trillion, six hundred fifty-three billion, nine hundred fifty-five million, twenty-one thousand, three hundred twenty".