1479312872400 has 240 divisors, whose sum is σ = 5170557634560. Its totient is φ = 358549747200.

The previous prime is 1479312872383. The next prime is 1479312872423. The reversal of 1479312872400 is 42782139741.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1479312872400³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1479312872400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100088211 + ... + 100102989.

It is an arithmetic number, because the mean of its divisors is an integer number (21543990144).

Almost surely, 2^{1479312872400} is an apocalyptic number.

1479312872400 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 1479312872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585278817280).

1479312872400 is an abundant number, since it is smaller than the sum of its proper divisors (3691244762160).

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

1479312872400 is a wasteful number, since it uses less digits than its factorization.

1479312872400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22394 (or 22383 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 1479312872400 in words is "one trillion, four hundred seventy-nine billion, three hundred twelve million, eight hundred seventy-two thousand, four hundred".