11910394440 has 256 divisors, whose sum is σ = 45446400000. Its totient is φ = 2717971200.

The previous prime is 11910394439. The next prime is 11910394469. The reversal of 11910394440 is 4449301911.

11910394440 is a `hidden beast` number, since 119 + 10 + 3 + 94 + 440 = 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 = 11910394395 and 11910394404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7944811 + ... + 7946309.

It is an arithmetic number, because the mean of its divisors is an integer number (177525000).

Almost surely, 2^11910394440 is an apocalyptic number.

11910394440 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 11910394440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22723200000).

11910394440 is an abundant number, since it is smaller than the sum of its proper divisors (33536005560).

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

11910394440 is a wasteful number, since it uses less digits than its factorization.

11910394440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2567 counting only the distinct ones).

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

The spelling of 11910394440 in words is "eleven billion, nine hundred ten million, three hundred ninety-four thousand, four hundred forty".