1415899430400 has 1920 divisors, whose sum is σ = 6110328913920. Its totient is φ = 280868290560.

The previous prime is 1415899430389. The next prime is 1415899430417. The reversal of 1415899430400 is 40349985141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

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 1415899430400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6349324689 + ... + 6349324911.

It is an arithmetic number, because the mean of its divisors is an integer number (3182462976).

Almost surely, 2^{1415899430400} is an apocalyptic number.

1415899430400 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 1415899430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055164456960).

1415899430400 is an abundant number, since it is smaller than the sum of its proper divisors (4694429483520).

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

1415899430400 is a wasteful number, since it uses less digits than its factorization.

1415899430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 1415899430400 in words is "one trillion, four hundred fifteen billion, eight hundred ninety-nine million, four hundred thirty thousand, four hundred".