1479314750400 has 168 divisors, whose sum is σ = 5392650317040. Its totient is φ = 394483921920.

The previous prime is 1479314750399. The next prime is 1479314750437. The reversal of 1479314750400 is 40574139741.

It is a happy number.

1479314750400 is a `hidden beast` number, since 1 + 4 + 79 + 31 + 47 + 504 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17078499 + ... + 17164898.

It is an arithmetic number, because the mean of its divisors is an integer number (32099109030).

Almost surely, 2^{1479314750400} is an apocalyptic number.

1479314750400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1479314750400 is an abundant number, since it is smaller than the sum of its proper divisors (3913335566640).

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

1479314750400 is a wasteful number, since it uses less digits than its factorization.

1479314750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34243428 (or 34243407 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1479314750400 in words is "one trillion, four hundred seventy-nine billion, three hundred fourteen million, seven hundred fifty thousand, four hundred".