40837927680 has 1152 divisors, whose sum is σ = 171656755200. Its totient is φ = 9083289600.

The previous prime is 40837927667. The next prime is 40837927693. The reversal of 40837927680 is 8672973804.

40837927680 is a `hidden beast` number, since 408 + 3 + 7 + 92 + 76 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (40837927667) and next prime (40837927693).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 458853076 + ... + 458853164.

It is an arithmetic number, because the mean of its divisors is an integer number (149007600).

Almost surely, 2^40837927680 is an apocalyptic number.

40837927680 is a gapful number since it is divisible by the number (40) 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 40837927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85828377600).

40837927680 is an abundant number, since it is smaller than the sum of its proper divisors (130818827520).

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

40837927680 is a wasteful number, since it uses less digits than its factorization.

40837927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 40837927680 in words is "forty billion, eight hundred thirty-seven million, nine hundred twenty-seven thousand, six hundred eighty".