1413238118400 has 1728 divisors, whose sum is σ = 5678036582400. Its totient is φ = 334430208000.

The previous prime is 1413238118297. The next prime is 1413238118417. The reversal of 1413238118400 is 48118323141.

1413238118400 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 238 + 1 + 18 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11127859137 + ... + 11127859263.

It is an arithmetic number, because the mean of its divisors is an integer number (3285900800).

Almost surely, 2^{1413238118400} is an apocalyptic number.

1413238118400 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 1413238118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839018291200).

1413238118400 is an abundant number, since it is smaller than the sum of its proper divisors (4264798464000).

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

1413238118400 is a wasteful number, since it uses less digits than its factorization.

1413238118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1413238118400 in words is "one trillion, four hundred thirteen billion, two hundred thirty-eight million, one hundred eighteen thousand, four hundred".