213091430400 has 780 divisors, whose sum is σ = 824398200912. Its totient is φ = 54305095680.

The previous prime is 213091430371. The next prime is 213091430477. The reversal of 213091430400 is 4034190312.

213091430400 is a `hidden beast` number, since 2 + 130 + 91 + 43 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 190770642 + ... + 190771758.

Almost surely, 2^213091430400 is an apocalyptic number.

213091430400 is a gapful number since it is divisible by the number (20) 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 213091430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412199100456).

213091430400 is an abundant number, since it is smaller than the sum of its proper divisors (611306770512).

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

213091430400 is a wasteful number, since it uses less digits than its factorization.

213091430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 213091430400 in words is "two hundred thirteen billion, ninety-one million, four hundred thirty thousand, four hundred".