39978735858720 has 144 divisors (see below), whose sum is σ = 140114664307800. Its totient is φ = 10372861181952.

The previous prime is 39978735858701. The next prime is 39978735858767. The reversal of 39978735858720 is 2785853787993.

39978735858720 is a `hidden beast` number, since 3 + 9 + 9 + 7 + 8 + 7 + 3 + 5 + 8 + 587 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39916669105296 + 62066753424 = 6317964^2 + 249132^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×39978735858720² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 39978735858720.

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, 375122545 + ... + 375229104.

Almost surely, 2^{39978735858720} is an apocalyptic number.

39978735858720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39978735858720 is an abundant number, since it is smaller than the sum of its proper divisors (100135928449080).

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

39978735858720 is a wasteful number, since it uses less digits than its factorization.

39978735858720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750351707 (or 750351696 counting only the distinct ones).

The product of its (nonzero) digits is 6401203200, while the sum is 81.

The spelling of 39978735858720 in words is "thirty-nine trillion, nine hundred seventy-eight billion, seven hundred thirty-five million, eight hundred fifty-eight thousand, seven hundred twenty".