39870148958640 has 5760 divisors, whose sum is σ = 209059769318400. Its totient is φ = 6648472535040.

The previous prime is 39870148958617. The next prime is 39870148958701. The reversal of 39870148958640 is 4685984107893.

39870148958640 is a `hidden beast` number, since 3 + 9 + 87 + 0 + 1 + 489 + 5 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 70070560276 + ... + 70070560844.

It is an arithmetic number, because the mean of its divisors is an integer number (36295098840).

Almost surely, 2^{39870148958640} is an apocalyptic number.

39870148958640 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 39870148958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104529884659200).

39870148958640 is an abundant number, since it is smaller than the sum of its proper divisors (169189620359760).

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

39870148958640 is a wasteful number, since it uses less digits than its factorization.

39870148958640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 39870148958640 in words is "thirty-nine trillion, eight hundred seventy billion, one hundred forty-eight million, nine hundred fifty-eight thousand, six hundred forty".