11394167040 has 432 divisors, whose sum is σ = 42366503088. Its totient is φ = 2816999424.

The previous prime is 11394166939. The next prime is 11394167051. The reversal of 11394167040 is 4076149311.

11394167040 is a `hidden beast` number, since 1 + 139 + 416 + 70 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 120824064 + 11273342976 = 10992^2 + 106176^2 .

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 = 11394166986 and 11394167004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14295922 + ... + 14296718.

It is an arithmetic number, because the mean of its divisors is an integer number (98070609).

Almost surely, 2^11394167040 is an apocalyptic number.

11394167040 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 11394167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21183251544).

11394167040 is an abundant number, since it is smaller than the sum of its proper divisors (30972336048).

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

11394167040 is a wasteful number, since it uses less digits than its factorization.

11394167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11394167040 in words is "eleven billion, three hundred ninety-four million, one hundred sixty-seven thousand, forty".