39957019571040 has 2304 divisors, whose sum is σ = 161481645287424. Its totient is φ = 8228097884160.

The previous prime is 39957019571039. The next prime is 39957019571081. The reversal of 39957019571040 is 4017591075993.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 54511622514 + ... + 54511623246.

It is an arithmetic number, because the mean of its divisors is an integer number (70087519656).

Almost surely, 2^{39957019571040} is an apocalyptic number.

39957019571040 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 39957019571040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80740822643712).

39957019571040 is an abundant number, since it is smaller than the sum of its proper divisors (121524625716384).

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

39957019571040 is a wasteful number, since it uses less digits than its factorization.

39957019571040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 10716300, while the sum is 60.

The spelling of 39957019571040 in words is "thirty-nine trillion, nine hundred fifty-seven billion, nineteen million, five hundred seventy-one thousand, forty".