213386342400 has 1872 divisors, whose sum is σ = 993777727488. Its totient is φ = 42467328000.

The previous prime is 213386342399. The next prime is 213386342459. The reversal of 213386342400 is 4243683312.

213386342400 is a `hidden beast` number, since 2 + 1 + 3 + 386 + 34 + 240 + 0 = 666.

It is a super-2 number, since 2×213386342400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2199859152 + ... + 2199859248.

Almost surely, 2^213386342400 is an apocalyptic number.

213386342400 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 213386342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496888863744).

213386342400 is an abundant number, since it is smaller than the sum of its proper divisors (780391385088).

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

213386342400 is a wasteful number, since it uses less digits than its factorization.

213386342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 213386342400 in words is "two hundred thirteen billion, three hundred eighty-six million, three hundred forty-two thousand, four hundred".