39970505652480 has 2304 divisors, whose sum is σ = 161221719859200. Its totient is φ = 9310536990720.

The previous prime is 39970505652479. The next prime is 39970505652499. The reversal of 39970505652480 is 8425650507993.

39970505652480 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 0 + 50 + 56 + 52 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×39970505652480² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 171547234444 + ... + 171547234676.

It is an arithmetic number, because the mean of its divisors is an integer number (69974704800).

Almost surely, 2^{39970505652480} is an apocalyptic number.

39970505652480 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 39970505652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80610859929600).

39970505652480 is an abundant number, since it is smaller than the sum of its proper divisors (121251214206720).

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

39970505652480 is a wasteful number, since it uses less digits than its factorization.

39970505652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 39970505652480 in words is "thirty-nine trillion, nine hundred seventy billion, five hundred five million, six hundred fifty-two thousand, four hundred eighty".