405315120400 has 30 divisors (see below), whose sum is σ = 973769577722. Its totient is φ = 162126048000.

The previous prime is 405315120389. The next prime is 405315120461. The reversal of 405315120400 is 4021513504.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 25642257424 + 379672862976 = 160132^2 + 616176^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 506643501 + ... + 506644300.

Almost surely, 2^405315120400 is an apocalyptic number.

405315120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405315120400 is an abundant number, since it is smaller than the sum of its proper divisors (568454457322).

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

405315120400 is a wasteful number, since it uses less digits than its factorization.

405315120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013287819 (or 1013287808 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 405315120400 its reverse (4021513504), we get a palindrome (409336633904).

The spelling of 405315120400 in words is "four hundred five billion, three hundred fifteen million, one hundred twenty thousand, four hundred".