1399018514400 has 864 divisors, whose sum is σ = 5473555607520. Its totient is φ = 334012170240.

The previous prime is 1399018514381. The next prime is 1399018514417. The reversal of 1399018514400 is 44158109931.

1399018514400 is a `hidden beast` number, since 1 + 3 + 9 + 90 + 1 + 8 + 514 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 2122941271 + ... + 2122941929.

It is an arithmetic number, because the mean of its divisors is an integer number (6335133805).

Almost surely, 2^{1399018514400} is an apocalyptic number.

1399018514400 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 1399018514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736777803760).

1399018514400 is an abundant number, since it is smaller than the sum of its proper divisors (4074537093120).

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

1399018514400 is a wasteful number, since it uses less digits than its factorization.

1399018514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 1399018514400 in words is "one trillion, three hundred ninety-nine billion, eighteen million, five hundred fourteen thousand, four hundred".