139992980400 has 2880 divisors, whose sum is σ = 705204864000. Its totient is φ = 26336378880.

The previous prime is 139992980389. The next prime is 139992980411. The reversal of 139992980400 is 4089299931.

139992980400 is a `hidden beast` number, since 139 + 9 + 9 + 29 + 80 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (139992980389) and next prime (139992980411).

It is a super-2 number, since 2×139992980400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7368051591 + ... + 7368051609.

It is an arithmetic number, because the mean of its divisors is an integer number (244862800).

Almost surely, 2^139992980400 is an apocalyptic number.

139992980400 is a gapful number since it is divisible by the number (10) 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 139992980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352602432000).

139992980400 is an abundant number, since it is smaller than the sum of its proper divisors (565211883600).

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

139992980400 is a wasteful number, since it uses less digits than its factorization.

139992980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 139992980400 in words is "one hundred thirty-nine billion, nine hundred ninety-two million, nine hundred eighty thousand, four hundred".