1413993715200 has 960 divisors, whose sum is σ = 5681548857600. Its totient is φ = 341596569600.

The previous prime is 1413993715133. The next prime is 1413993715201. The reversal of 1413993715200 is 25173993141.

1413993715200 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 99 + 37 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1413993715200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413993715201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1646092371 + ... + 1646093229.

It is an arithmetic number, because the mean of its divisors is an integer number (5918280060).

Almost surely, 2^{1413993715200} is an apocalyptic number.

1413993715200 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 1413993715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840774428800).

1413993715200 is an abundant number, since it is smaller than the sum of its proper divisors (4267555142400).

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

1413993715200 is a wasteful number, since it uses less digits than its factorization.

1413993715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 1413993715200 in words is "one trillion, four hundred thirteen billion, nine hundred ninety-three million, seven hundred fifteen thousand, two hundred".