39949887398400 has 2880 divisors, whose sum is σ = 176120683554816. Its totient is φ = 8778792960000.

The previous prime is 39949887398339. The next prime is 39949887398413. The reversal of 39949887398400 is 489378894993.

39949887398400 is a `hidden beast` number, since 3 + 9 + 9 + 49 + 8 + 87 + 3 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 39949887398400.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66472358100 + ... + 66472358700.

Almost surely, 2^{39949887398400} is an apocalyptic number.

39949887398400 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 39949887398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88060341777408).

39949887398400 is an abundant number, since it is smaller than the sum of its proper divisors (136170796156416).

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

39949887398400 is an equidigital number, since it uses as much as digits as its factorization.

39949887398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3386105856, while the sum is 81.

The spelling of 39949887398400 in words is "thirty-nine trillion, nine hundred forty-nine billion, eight hundred eighty-seven million, three hundred ninety-eight thousand, four hundred".