400599599400 has 1536 divisors, whose sum is σ = 1903678156800. Its totient is φ = 74724249600.

The previous prime is 400599599333. The next prime is 400599599419. The reversal of 400599599400 is 4995995004.

400599599400 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 9 + 9 + 599 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 199998799 + ... + 200000801.

It is an arithmetic number, because the mean of its divisors is an integer number (1239373800).

Almost surely, 2^400599599400 is an apocalyptic number.

400599599400 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 400599599400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951839078400).

400599599400 is an abundant number, since it is smaller than the sum of its proper divisors (1503078557400).

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

400599599400 is a wasteful number, since it uses less digits than its factorization.

400599599400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

It can be divided in two parts, 400599 and 599400, that added together give a palindrome (999999).

The spelling of 400599599400 in words is "four hundred billion, five hundred ninety-nine million, five hundred ninety-nine thousand, four hundred".