12337472075040 has 288 divisors, whose sum is σ = 48119517403776. Its totient is φ = 2819795742720.

The previous prime is 12337472075039. The next prime is 12337472075057. The reversal of 12337472075040 is 4057027473321.

12337472075040 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 74 + 72 + 0 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181819359 + ... + 181887201.

It is an arithmetic number, because the mean of its divisors is an integer number (167081657652).

Almost surely, 2^{12337472075040} is an apocalyptic number.

12337472075040 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 12337472075040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24059758701888).

12337472075040 is an abundant number, since it is smaller than the sum of its proper divisors (35782045328736).

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

12337472075040 is a wasteful number, since it uses less digits than its factorization.

12337472075040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85912 (or 85901 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 12337472075040 in words is "twelve trillion, three hundred thirty-seven billion, four hundred seventy-two million, seventy-five thousand, forty".