11741734400 has 240 divisors, whose sum is σ = 32126537520. Its totient is φ = 4217241600.

The previous prime is 11741734391. The next prime is 11741734423. The reversal of 11741734400 is 443714711.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12530732 + ... + 12531668.

It is an arithmetic number, because the mean of its divisors is an integer number (133860573).

Almost surely, 2^11741734400 is an apocalyptic number.

11741734400 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 11741734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063268760).

11741734400 is an abundant number, since it is smaller than the sum of its proper divisors (20384803120).

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

11741734400 is an equidigital number, since it uses as much as digits as its factorization.

11741734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The spelling of 11741734400 in words is "eleven billion, seven hundred forty-one million, seven hundred thirty-four thousand, four hundred".