215042110295040 has 1760 divisors, whose sum is σ = 896829020888064. Its totient is φ = 48253979197440.

The previous prime is 215042110294997. The next prime is 215042110295069. The reversal of 215042110295040 is 40592011240512.

215042110295040 is a `hidden beast` number, since 2 + 1 + 5 + 0 + 42 + 1 + 102 + 9 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 215042110294986 and 215042110295004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 139366240509 + ... + 139366242051.

Almost surely, 2^{215042110295040} is an apocalyptic number.

215042110295040 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 215042110295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448414510444032).

215042110295040 is an abundant number, since it is smaller than the sum of its proper divisors (681786910593024).

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

215042110295040 is a wasteful number, since it uses less digits than its factorization.

215042110295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 215042110295040 in words is "two hundred fifteen trillion, forty-two billion, one hundred ten million, two hundred ninety-five thousand, forty".