1270089408000 has 960 divisors, whose sum is σ = 4955490828288. Its totient is φ = 287749324800.

The previous prime is 1270089407947. The next prime is 1270089408017. The reversal of 1270089408000 is 8049800721.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1270089408000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1270089408000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1194815469 + ... + 1194816531.

Almost surely, 2^{1270089408000} is an apocalyptic number.

1270089408000 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 1270089408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477745414144).

1270089408000 is an abundant number, since it is smaller than the sum of its proper divisors (3685401420288).

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

1270089408000 is a wasteful number, since it uses less digits than its factorization.

1270089408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 1270089408000 in words is "one trillion, two hundred seventy billion, eighty-nine million, four hundred eight thousand".