40616160840 has 96 divisors (see below), whose sum is σ = 135072400320. Its totient is φ = 10579089024.

The previous prime is 40616160833. The next prime is 40616160841. The reversal of 40616160840 is 4806161604.

40616160840 is a `hidden beast` number, since 4 + 0 + 6 + 1 + 6 + 1 + 608 + 40 = 666.

40616160840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 40616160795 and 40616160804.

It is not an unprimeable number, because it can be changed into a prime (40616160841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1296412 + ... + 1327371.

It is an arithmetic number, because the mean of its divisors is an integer number (1407004170).

Almost surely, 2^40616160840 is an apocalyptic number.

40616160840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40616160840 is an abundant number, since it is smaller than the sum of its proper divisors (94456239480).

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

40616160840 is a wasteful number, since it uses less digits than its factorization.

40616160840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623843 (or 2623836 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 40616160840 in words is "forty billion, six hundred sixteen million, one hundred sixty thousand, eight hundred forty".