11309968432440 has 128 divisors (see below), whose sum is σ = 37705307976000. Its totient is φ = 3015558526464.

The previous prime is 11309968432429. The next prime is 11309968432471. The reversal of 11309968432440 is 4423486990311.

11309968432440 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 9 + 96 + 84 + 32 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6808426 + ... + 8305094.

Almost surely, 2^{11309968432440} is an apocalyptic number.

11309968432440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11309968432440 is an abundant number, since it is smaller than the sum of its proper divisors (26395339543560).

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

11309968432440 is a wasteful number, since it uses less digits than its factorization.

11309968432440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503686 (or 1503676 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 11309968432440 in words is "eleven trillion, three hundred nine billion, nine hundred sixty-eight million, four hundred thirty-two thousand, four hundred forty".