11760406400 has 96 divisors (see below), whose sum is σ = 29085151080. Its totient is φ = 4698777600.

The previous prime is 11760406381. The next prime is 11760406403. The reversal of 11760406400 is 460406711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11760406403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3956915 + ... + 3959885.

Almost surely, 2^11760406400 is an apocalyptic number.

11760406400 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 11760406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14542575540).

11760406400 is an abundant number, since it is smaller than the sum of its proper divisors (17324744680).

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

11760406400 is a wasteful number, since it uses less digits than its factorization.

11760406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4215 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 11760406400 in words is "eleven billion, seven hundred sixty million, four hundred six thousand, four hundred".