274012116840 has 1024 divisors, whose sum is σ = 1214051328000. Its totient is φ = 53915673600.

The previous prime is 274012116839. The next prime is 274012116863. The reversal of 274012116840 is 48611210472.

It is a happy number.

274012116840 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 = 274012116795 and 274012116804.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 127982170 + ... + 127984310.

It is an arithmetic number, because the mean of its divisors is an integer number (1185597000).

Almost surely, 2^274012116840 is an apocalyptic number.

274012116840 is a gapful number since it is divisible by the number (20) 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 274012116840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607025664000).

274012116840 is an abundant number, since it is smaller than the sum of its proper divisors (940039211160).

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

274012116840 is a wasteful number, since it uses less digits than its factorization.

274012116840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 274012116840 in words is "two hundred seventy-four billion, twelve million, one hundred sixteen thousand, eight hundred forty".