11453792040 has 320 divisors, whose sum is σ = 41143291200. Its totient is φ = 2849375232.

The previous prime is 11453792033. The next prime is 11453792081. The reversal of 11453792040 is 4029735411.

11453792040 is a `hidden beast` number, since 114 + 537 + 9 + 2 + 0 + 4 + 0 = 666.

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 = 11453791986 and 11453792004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4123132 + ... + 4125908.

It is an arithmetic number, because the mean of its divisors is an integer number (128572785).

Almost surely, 2^11453792040 is an apocalyptic number.

11453792040 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 11453792040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20571645600).

11453792040 is an abundant number, since it is smaller than the sum of its proper divisors (29689499160).

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

11453792040 is a wasteful number, since it uses less digits than its factorization.

11453792040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11453792040 in words is "eleven billion, four hundred fifty-three million, seven hundred ninety-two thousand, forty".