11398982400 has 486 divisors, whose sum is σ = 44167686108. Its totient is φ = 2803507200.

The previous prime is 11398982383. The next prime is 11398982431. The reversal of 11398982400 is 428989311.

11398982400 is a `hidden beast` number, since 11 + 398 + 9 + 8 + 240 + 0 = 666.

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 53 ways as a sum of consecutive naturals, for example, 9733815 + ... + 9734985.

Almost surely, 2^11398982400 is an apocalyptic number.

11398982400 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 11398982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22083843054).

11398982400 is an abundant number, since it is smaller than the sum of its proper divisors (32768703708).

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

11398982400 is a wasteful number, since it uses less digits than its factorization.

11398982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11398982400 in words is "eleven billion, three hundred ninety-eight million, nine hundred eighty-two thousand, four hundred".