39461768712704 has 240 divisors, whose sum is σ = 91060687633608. Its totient is φ = 17016554520576.

The previous prime is 39461768712661. The next prime is 39461768712719. The reversal of 39461768712704 is 40721786716493.

It can be written as a sum of positive squares in 12 ways, for example, as 1663274502400 + 37798494210304 = 1289680^2 + 6148048^2 .

It is a super-4 number, since 4×39461768712704⁴ (a number of 55 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201425804 + ... + 201621620.

Almost surely, 2^{39461768712704} is an apocalyptic number.

39461768712704 is a gapful number since it is divisible by the number (34) 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 39461768712704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45530343816804).

39461768712704 is an abundant number, since it is smaller than the sum of its proper divisors (51598918920904).

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

39461768712704 is a wasteful number, since it uses less digits than its factorization.

39461768712704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196015 (or 195986 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 65.

The spelling of 39461768712704 in words is "thirty-nine trillion, four hundred sixty-one billion, seven hundred sixty-eight million, seven hundred twelve thousand, seven hundred four".