40870615968 has 288 divisors, whose sum is σ = 144103954176. Its totient is φ = 10699444224.

The previous prime is 40870615957. The next prime is 40870615997. The reversal of 40870615968 is 86951607804.

40870615968 is a `hidden beast` number, since 40 + 8 + 7 + 0 + 6 + 1 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3584805 + ... + 3596187.

It is an arithmetic number, because the mean of its divisors is an integer number (500360952).

Almost surely, 2^40870615968 is an apocalyptic number.

40870615968 is a gapful number since it is divisible by the number (48) 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 40870615968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72051977088).

40870615968 is an abundant number, since it is smaller than the sum of its proper divisors (103233338208).

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

40870615968 is a wasteful number, since it uses less digits than its factorization.

40870615968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11556 (or 11545 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 40870615968 in words is "forty billion, eight hundred seventy million, six hundred fifteen thousand, nine hundred sixty-eight".