11413824307200 has 1152 divisors, whose sum is σ = 48463671459840. Its totient is φ = 2608555622400.

The previous prime is 11413824307199. The next prime is 11413824307201. The reversal of 11413824307200 is 270342831411.

11413824307200 is a `hidden beast` number, since 1 + 1 + 4 + 13 + 8 + 2 + 430 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (11413824307199) and next prime (11413824307201).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11413824307201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1393455105 + ... + 1393463295.

Almost surely, 2^{11413824307200} is an apocalyptic number.

11413824307200 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 11413824307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24231835729920).

11413824307200 is an abundant number, since it is smaller than the sum of its proper divisors (37049847152640).

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

11413824307200 is an frugal number, since it uses more digits than its factorization.

11413824307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8253 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11413824307200 in words is "eleven trillion, four hundred thirteen billion, eight hundred twenty-four million, three hundred seven thousand, two hundred".