11607344125440 has 160 divisors (see below), whose sum is σ = 42408261054720. Its totient is φ = 2653107216384.

The previous prime is 11607344125411. The next prime is 11607344125459. The reversal of 11607344125440 is 4452144370611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11607344125392 and 11607344125401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107901450 + ... + 108008969.

It is an arithmetic number, because the mean of its divisors is an integer number (265051631592).

Almost surely, 2^{11607344125440} is an apocalyptic number.

11607344125440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11607344125440 is an abundant number, since it is smaller than the sum of its proper divisors (30800916929280).

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

11607344125440 is an equidigital number, since it uses as much as digits as its factorization.

11607344125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215910452 (or 215910436 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 11607344125440 in words is "eleven trillion, six hundred seven billion, three hundred forty-four million, one hundred twenty-five thousand, four hundred forty".