39745250897040 has 960 divisors, whose sum is σ = 158230910073600. Its totient is φ = 9185030111232.

The previous prime is 39745250896997. The next prime is 39745250897059. The reversal of 39745250897040 is 4079805254793.

39745250897040 is a `hidden beast` number, since 3 + 9 + 7 + 4 + 52 + 508 + 9 + 70 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1757150851 + ... + 1757173469.

It is an arithmetic number, because the mean of its divisors is an integer number (164823864660).

Almost surely, 2^{39745250897040} is an apocalyptic number.

39745250897040 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 39745250897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79115455036800).

39745250897040 is an abundant number, since it is smaller than the sum of its proper divisors (118485659176560).

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

39745250897040 is a wasteful number, since it uses less digits than its factorization.

39745250897040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23086 (or 23068 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 39745250897040 in words is "thirty-nine trillion, seven hundred forty-five billion, two hundred fifty million, eight hundred ninety-seven thousand, forty".