1413007545600 has 1080 divisors, whose sum is σ = 5992806935808. Its totient is φ = 321789542400.

The previous prime is 1413007545581. The next prime is 1413007545601. The reversal of 1413007545600 is 65457003141.

1413007545600 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 0 + 7 + 5 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413007545601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1331769070 + ... + 1331770130.

Almost surely, 2^{1413007545600} is an apocalyptic number.

1413007545600 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 1413007545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2996403467904).

1413007545600 is an abundant number, since it is smaller than the sum of its proper divisors (4579799390208).

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

1413007545600 is a wasteful number, since it uses less digits than its factorization.

1413007545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1413007545600 in words is "one trillion, four hundred thirteen billion, seven million, five hundred forty-five thousand, six hundred".