12172537440 has 240 divisors, whose sum is σ = 49096266912. Its totient is φ = 2782273536.

The previous prime is 12172537381. The next prime is 12172537471. The reversal of 12172537440 is 4473527121.

12172537440 is a `hidden beast` number, since 12 + 1 + 72 + 537 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 12172537395 and 12172537404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23632 + ... + 157808.

Almost surely, 2^12172537440 is an apocalyptic number.

12172537440 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 12172537440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24548133456).

12172537440 is an abundant number, since it is smaller than the sum of its proper divisors (36923729472).

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

12172537440 is a wasteful number, since it uses less digits than its factorization.

12172537440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134211 (or 134194 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 12172537440 in words is "twelve billion, one hundred seventy-two million, five hundred thirty-seven thousand, four hundred forty".