39940478645760 has 4800 divisors, whose sum is σ = 195407765245440. Its totient is φ = 7553345126400.

The previous prime is 39940478645731. The next prime is 39940478645849. The reversal of 39940478645760 is 6754687404993.

It is a happy number.

39940478645760 is a `hidden beast` number, since 3 + 9 + 9 + 4 + 0 + 47 + 8 + 6 + 4 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 291536340412 + ... + 291536340548.

Almost surely, 2^{39940478645760} is an apocalyptic number.

39940478645760 is a gapful number since it is divisible by the number (30) 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 39940478645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97703882622720).

39940478645760 is an abundant number, since it is smaller than the sum of its proper divisors (155467286599680).

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

39940478645760 is a wasteful number, since it uses less digits than its factorization.

39940478645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 39940478645760 in words is "thirty-nine trillion, nine hundred forty billion, four hundred seventy-eight million, six hundred forty-five thousand, seven hundred sixty".