1272793440 has 96 divisors (see below), whose sum is σ = 4030580736. Its totient is φ = 337610240.

The previous prime is 1272793433. The next prime is 1272793469. The reversal of 1272793440 is 443972721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84739 + ... + 98621.

It is an arithmetic number, because the mean of its divisors is an integer number (41985216).

Almost surely, 2^1272793440 is an apocalyptic number.

1272793440 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 1272793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015290368).

1272793440 is an abundant number, since it is smaller than the sum of its proper divisors (2757787296).

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

1272793440 is a wasteful number, since it uses less digits than its factorization.

1272793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14092 (or 14084 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 1272793440 is about 35676.2307426107. The cubic root of 1272793440 is about 1083.7255424585.

The spelling of 1272793440 in words is "one billion, two hundred seventy-two million, seven hundred ninety-three thousand, four hundred forty".