405401132400 has 240 divisors, whose sum is σ = 1418039299200. Its totient is φ = 98185651200.

The previous prime is 405401132399. The next prime is 405401132417. The reversal of 405401132400 is 4231104504.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14413551 + ... + 14441649.

It is an arithmetic number, because the mean of its divisors is an integer number (5908497080).

Almost surely, 2^405401132400 is an apocalyptic number.

405401132400 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 405401132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709019649600).

405401132400 is an abundant number, since it is smaller than the sum of its proper divisors (1012638166800).

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

405401132400 is a wasteful number, since it uses less digits than its factorization.

405401132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29224 (or 29213 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 405401132400 its reverse (4231104504), we get a palindrome (409632236904).

The spelling of 405401132400 in words is "four hundred five billion, four hundred one million, one hundred thirty-two thousand, four hundred".