213109142400 has 1536 divisors, whose sum is σ = 984965529600. Its totient is φ = 43711488000.

The previous prime is 213109142371. The next prime is 213109142429. The reversal of 213109142400 is 4241901312.

It is a happy number.

213109142400 is a `hidden beast` number, since 2 + 13 + 109 + 142 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (213109142371) and next prime (213109142429).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 685238245 + ... + 685238555.

It is an arithmetic number, because the mean of its divisors is an integer number (641253600).

Almost surely, 2^213109142400 is an apocalyptic number.

213109142400 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 213109142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492482764800).

213109142400 is an abundant number, since it is smaller than the sum of its proper divisors (771856387200).

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

213109142400 is a wasteful number, since it uses less digits than its factorization.

213109142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 213109142400 in words is "two hundred thirteen billion, one hundred nine million, one hundred forty-two thousand, four hundred".