213872440476240 has 2560 divisors, whose sum is σ = 1005113268633600. Its totient is φ = 40510274273280.

The previous prime is 213872440476221. The next prime is 213872440476271. The reversal of 213872440476240 is 42674044278312.

213872440476240 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 7 + 2 + 4 + 4 + 0 + 4 + 7 + 624 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 8043025345 + ... + 8043051935.

It is an arithmetic number, because the mean of its divisors is an integer number (392622370560).

Almost surely, 2^{213872440476240} is an apocalyptic number.

213872440476240 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 213872440476240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502556634316800).

213872440476240 is an abundant number, since it is smaller than the sum of its proper divisors (791240828157360).

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

213872440476240 is a wasteful number, since it uses less digits than its factorization.

213872440476240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26762 (or 26750 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 213872440476240 in words is "two hundred thirteen trillion, eight hundred seventy-two billion, four hundred forty million, four hundred seventy-six thousand, two hundred forty".