213115791114240 has 1536 divisors, whose sum is σ = 871034413213440. Its totient is φ = 43429467783168.

The previous prime is 213115791114179. The next prime is 213115791114251. The reversal of 213115791114240 is 42411197511312.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 213115791114192 and 213115791114201.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21115202634 + ... + 21115212726.

Almost surely, 2^{213115791114240} is an apocalyptic number.

213115791114240 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 213115791114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435517206606720).

213115791114240 is an abundant number, since it is smaller than the sum of its proper divisors (657918622099200).

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

213115791114240 is a wasteful number, since it uses less digits than its factorization.

213115791114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10193 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 213115791114240 in words is "two hundred thirteen trillion, one hundred fifteen billion, seven hundred ninety-one million, one hundred fourteen thousand, two hundred forty".