12274088509440 has 1024 divisors, whose sum is σ = 45446897232000. Its totient is φ = 3139184885760.

The previous prime is 12274088509421. The next prime is 12274088509447. The reversal of 12274088509440 is 4490588047221.

12274088509440 is a `hidden beast` number, since 1 + 2 + 2 + 74 + 0 + 88 + 50 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×12274088509440² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12274088509447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30917099322 + ... + 30917099718.

Almost surely, 2^{12274088509440} is an apocalyptic number.

12274088509440 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 12274088509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22723448616000).

12274088509440 is an abundant number, since it is smaller than the sum of its proper divisors (33172808722560).

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

12274088509440 is an equidigital number, since it uses as much as digits as its factorization.

12274088509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 12274088509440 in words is "twelve trillion, two hundred seventy-four billion, eighty-eight million, five hundred nine thousand, four hundred forty".