11404895040 has 1344 divisors, whose sum is σ = 53371699200. Its totient is φ = 2264371200.

The previous prime is 11404895039. The next prime is 11404895083. The reversal of 11404895040 is 4059840411.

11404895040 is a `hidden beast` number, since 1 + 140 + 4 + 8 + 9 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 11404894986 and 11404895004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144365721 + ... + 144365799.

Almost surely, 2^11404895040 is an apocalyptic number.

11404895040 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 11404895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26685849600).

11404895040 is an abundant number, since it is smaller than the sum of its proper divisors (41966804160).

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

11404895040 is a wasteful number, since it uses less digits than its factorization.

11404895040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11404895040 in words is "eleven billion, four hundred four million, eight hundred ninety-five thousand, forty".