1270115440 has 80 divisors (see below), whose sum is σ = 3257871840. Its totient is φ = 456642560.

The previous prime is 1270115423. The next prime is 1270115461. The reversal of 1270115440 is 445110721.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×1270115440⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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, 70212 + ... + 86428.

It is an arithmetic number, because the mean of its divisors is an integer number (40723398).

Almost surely, 2^1270115440 is an apocalyptic number.

1270115440 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 1270115440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628935920).

1270115440 is an abundant number, since it is smaller than the sum of its proper divisors (1987756400).

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

1270115440 is a wasteful number, since it uses less digits than its factorization.

1270115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16330 (or 16324 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 1270115440 is about 35638.6789878637. The cubic root of 1270115440 is about 1082.9649438288.

The spelling of 1270115440 in words is "one billion, two hundred seventy million, one hundred fifteen thousand, four hundred forty".