39116457972480 has 1152 divisors, whose sum is σ = 152231144325120. Its totient is φ = 8361622241280.

The previous prime is 39116457972439. The next prime is 39116457972491. The reversal of 39116457972480 is 8427975461193.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13364008777 + ... + 13364011703.

It is an arithmetic number, because the mean of its divisors is an integer number (132145090560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅39116457972480 = 78232915944960, but 3⋅39116457972480 = 117349373917440 is not.

Almost surely, 2^{39116457972480} is an apocalyptic number.

39116457972480 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 39116457972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76115572162560).

39116457972480 is an abundant number, since it is smaller than the sum of its proper divisors (113114686352640).

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

39116457972480 is a wasteful number, since it uses less digits than its factorization.

39116457972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 39116457972480 in words is "thirty-nine trillion, one hundred sixteen billion, four hundred fifty-seven million, nine hundred seventy-two thousand, four hundred eighty".