405266013140400 has 360 divisors, whose sum is σ = 1422590037204960. Its totient is φ = 106829510492160.

The previous prime is 405266013140281. The next prime is 405266013140423. The reversal of 405266013140400 is 4041310662504.

405266013140400 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 6 + 601 + 3 + 1 + 4 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×405266013140400² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 205554496 + ... + 207516704.

It is an arithmetic number, because the mean of its divisors is an integer number (3951638992236).

Almost surely, 2^{405266013140400} is an apocalyptic number.

405266013140400 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 405266013140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711295018602480).

405266013140400 is an abundant number, since it is smaller than the sum of its proper divisors (1017324024064560).

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

405266013140400 is a wasteful number, since it uses less digits than its factorization.

405266013140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962893 (or 1962879 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 405266013140400 in words is "four hundred five trillion, two hundred sixty-six billion, thirteen million, one hundred forty thousand, four hundred".