39952128061440 has 1664 divisors, whose sum is σ = 169051420016640. Its totient is φ = 8761009766400.

The previous prime is 39952128061393. The next prime is 39952128061451. The reversal of 39952128061440 is 4416082125993.

It is a happy number.

39952128061440 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 2 + 12 + 8 + 0 + 614 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 9680668657 + ... + 9680672783.

Almost surely, 2^{39952128061440} is an apocalyptic number.

39952128061440 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 39952128061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84525710008320).

39952128061440 is an abundant number, since it is smaller than the sum of its proper divisors (129099291955200).

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

39952128061440 is a wasteful number, since it uses less digits than its factorization.

39952128061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 39952128061440 in words is "thirty-nine trillion, nine hundred fifty-two billion, one hundred twenty-eight million, sixty-one thousand, four hundred forty".