400213144800 has 324 divisors, whose sum is σ = 1641661473816. Its totient is φ = 91477209600.

The previous prime is 400213144739. The next prime is 400213144823. The reversal of 400213144800 is 8441312004.

400213144800 is a `hidden beast` number, since 4 + 0 + 0 + 213 + 1 + 448 + 0 + 0 = 666.

It is a super-2 number, since 2×400213144800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 214396 + ... + 919995.

Almost surely, 2^400213144800 is an apocalyptic number.

400213144800 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 400213144800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820830736908).

400213144800 is an abundant number, since it is smaller than the sum of its proper divisors (1241448329016).

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

400213144800 is a wasteful number, since it uses less digits than its factorization.

400213144800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134431 (or 1134408 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 400213144800 its reverse (8441312004), we get a palindrome (408654456804).

The spelling of 400213144800 in words is "four hundred billion, two hundred thirteen million, one hundred forty-four thousand, eight hundred".