11319416640 has 336 divisors, whose sum is σ = 44678754432. Its totient is φ = 2576683008.

The previous prime is 11319416617. The next prime is 11319416657. The reversal of 11319416640 is 4661491311.

11319416640 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 9 + 4 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 11319416595 and 11319416604.

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 47 ways as a sum of consecutive naturals, for example, 5583307 + ... + 5585333.

Almost surely, 2^11319416640 is an apocalyptic number.

11319416640 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 11319416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22339377216).

11319416640 is an abundant number, since it is smaller than the sum of its proper divisors (33359337792).

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

11319416640 is a wasteful number, since it uses less digits than its factorization.

11319416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11319416640 in words is "eleven billion, three hundred nineteen million, four hundred sixteen thousand, six hundred forty".