12427215440640 has 3456 divisors, whose sum is σ = 58459054080000. Its totient is φ = 2180962713600.

The previous prime is 12427215440639. The next prime is 12427215440681. The reversal of 12427215440640 is 4604451272421.

It is a happy number.

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 = 12427215440592 and 12427215440601.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24904239111 + ... + 24904239609.

Almost surely, 2^{12427215440640} is an apocalyptic number.

12427215440640 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 12427215440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29229527040000).

12427215440640 is an abundant number, since it is smaller than the sum of its proper divisors (46031838639360).

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

12427215440640 is a wasteful number, since it uses less digits than its factorization.

12427215440640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 12427215440640 in words is "twelve trillion, four hundred twenty-seven billion, two hundred fifteen million, four hundred forty thousand, six hundred forty".