1274138880 has 288 divisors, whose sum is σ = 4704666624. Its totient is φ = 287858688.

The previous prime is 1274138869. The next prime is 1274138897. The reversal of 1274138880 is 888314721.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2875939 + ... + 2876381.

It is an arithmetic number, because the mean of its divisors is an integer number (16335648).

Almost surely, 2^1274138880 is an apocalyptic number.

1274138880 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 1274138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2352333312).

1274138880 is an abundant number, since it is smaller than the sum of its proper divisors (3430527744).

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

1274138880 is a wasteful number, since it uses less digits than its factorization.

1274138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 1274138880 is about 35695.0820141935. The cubic root of 1274138880 is about 1084.1072682436.

The spelling of 1274138880 in words is "one billion, two hundred seventy-four million, one hundred thirty-eight thousand, eight hundred eighty".