11404800000 has 780 divisors, whose sum is σ = 46455354792. Its totient is φ = 2764800000.

The previous prime is 11404799977. The next prime is 11404800061. The reversal of 11404800000 is 840411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1036799995 + ... + 1036800005.

Almost surely, 2^11404800000 is an apocalyptic number.

11404800000 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 11404800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227677396).

11404800000 is an abundant number, since it is smaller than the sum of its proper divisors (35050554792).

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

11404800000 is an frugal number, since it uses more digits than its factorization.

11404800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 11404800000 in words is "eleven billion, four hundred four million, eight hundred thousand".