39540677014944 has 384 divisors, whose sum is σ = 133803261849600. Its totient is φ = 11125907020800.

The previous prime is 39540677014939. The next prime is 39540677015017. The reversal of 39540677014944 is 44941077604593.

39540677014944 is a `hidden beast` number, since 3 + 9 + 540 + 6 + 7 + 7 + 0 + 1 + 49 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2006214562 + ... + 2006234270.

It is an arithmetic number, because the mean of its divisors is an integer number (348445994400).

Almost surely, 2^{39540677014944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39540677014944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66901630924800).

39540677014944 is an abundant number, since it is smaller than the sum of its proper divisors (94262584834656).

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

39540677014944 is a wasteful number, since it uses less digits than its factorization.

39540677014944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24753 (or 24739 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 39540677014944 in words is "thirty-nine trillion, five hundred forty billion, six hundred seventy-seven million, fourteen thousand, nine hundred forty-four".