11442695040 has 768 divisors, whose sum is σ = 48973317120. Its totient is φ = 2496282624.

The previous prime is 11442695021. The next prime is 11442695083. The reversal of 11442695040 is 4059624411.

11442695040 is a `hidden beast` number, since 1 + 144 + 2 + 6 + 9 + 504 + 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 = 11442694986 and 11442695004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25038492 + ... + 25038948.

It is an arithmetic number, because the mean of its divisors is an integer number (63767340).

Almost surely, 2^11442695040 is an apocalyptic number.

11442695040 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 11442695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24486658560).

11442695040 is an abundant number, since it is smaller than the sum of its proper divisors (37530622080).

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

11442695040 is an equidigital number, since it uses as much as digits as its factorization.

11442695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11442695040 in words is "eleven billion, four hundred forty-two million, six hundred ninety-five thousand, forty".