11241802598400 has 1440 divisors, whose sum is σ = 45985186447200. Its totient is φ = 2691543859200.

The previous prime is 11241802598393. The next prime is 11241802598471. The reversal of 11241802598400 is 489520814211.

11241802598400 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 18 + 0 + 2 + 598 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×11241802598400² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3786392116 + ... + 3786395084.

It is an arithmetic number, because the mean of its divisors is an integer number (31934157255).

Almost surely, 2^{11241802598400} is an apocalyptic number.

11241802598400 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 11241802598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22992593223600).

11241802598400 is an abundant number, since it is smaller than the sum of its proper divisors (34743383848800).

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

11241802598400 is a wasteful number, since it uses less digits than its factorization.

11241802598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11241802598400 in words is "eleven trillion, two hundred forty-one billion, eight hundred two million, five hundred ninety-eight thousand, four hundred".