11404761120 has 240 divisors, whose sum is σ = 41549131008. Its totient is φ = 2943060480.

The previous prime is 11404761101. The next prime is 11404761133. The reversal of 11404761120 is 2116740411.

11404761120 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 47 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 387567 + ... + 415953.

Almost surely, 2^11404761120 is an apocalyptic number.

11404761120 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 11404761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20774565504).

11404761120 is an abundant number, since it is smaller than the sum of its proper divisors (30144369888).

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

11404761120 is a wasteful number, since it uses less digits than its factorization.

11404761120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28445 (or 28428 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11404761120 in words is "eleven billion, four hundred four million, seven hundred sixty-one thousand, one hundred twenty".