1399550400 has 210 divisors, whose sum is σ = 5144871600. Its totient is φ = 373178880.

The previous prime is 1399550363. The next prime is 1399550413. The reversal of 1399550400 is 40559931.

1399550400 is a `hidden beast` number, since 13 + 99 + 550 + 4 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 124201 + ... + 134999.

Almost surely, 2^1399550400 is an apocalyptic number.

1399550400 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 1399550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572435800).

1399550400 is an abundant number, since it is smaller than the sum of its proper divisors (3745321200).

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

1399550400 is a wasteful number, since it uses less digits than its factorization.

1399550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10833 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1399550400 is about 37410.5653525846. The cubic root of 1399550400 is about 1118.5691762721.

The spelling of 1399550400 in words is "one billion, three hundred ninety-nine million, five hundred fifty thousand, four hundred".