11307398400 has 324 divisors, whose sum is σ = 40820039260. Its totient is φ = 2985984000.

The previous prime is 11307398369. The next prime is 11307398413. The reversal of 11307398400 is 489370311.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 686859264 + 10620539136 = 26208^2 + 103056^2 .

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 35 ways as a sum of consecutive naturals, for example, 6277500 + ... + 6279300.

Almost surely, 2^11307398400 is an apocalyptic number.

11307398400 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 11307398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20410019630).

11307398400 is an abundant number, since it is smaller than the sum of its proper divisors (29512640860).

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

11307398400 is a wasteful number, since it uses less digits than its factorization.

11307398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11307398400 in words is "eleven billion, three hundred seven million, three hundred ninety-eight thousand, four hundred".