405471414608400 has 120 divisors (see below), whose sum is σ = 1484411540749504. Its totient is φ = 92679180480000.

The previous prime is 405471414608383. The next prime is 405471414608437. The reversal of 405471414608400 is 4806414174504.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 405471414608400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24135194851 + ... + 24135211650.

Almost surely, 2^{405471414608400} is an apocalyptic number.

405471414608400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405471414608400 is an abundant number, since it is smaller than the sum of its proper divisors (1078940126141104).

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

405471414608400 is a wasteful number, since it uses less digits than its factorization.

405471414608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48270406529 (or 48270406518 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 405471414608400 in words is "four hundred five trillion, four hundred seventy-one billion, four hundred fourteen million, six hundred eight thousand, four hundred".