11479910400 has 432 divisors, whose sum is σ = 47000116800. Its totient is φ = 2623242240.

The previous prime is 11479910369. The next prime is 11479910441. The reversal of 11479910400 is 401997411.

It is a super-3 number, since 3×11479910400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3223821 + ... + 3227379.

Almost surely, 2^11479910400 is an apocalyptic number.

11479910400 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 11479910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23500058400).

11479910400 is an abundant number, since it is smaller than the sum of its proper divisors (35520206400).

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

11479910400 is a wasteful number, since it uses less digits than its factorization.

11479910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11479910400 in words is "eleven billion, four hundred seventy-nine million, nine hundred ten thousand, four hundred".