1270906434560 has 352 divisors, whose sum is σ = 3625328836608. Its totient is φ = 418316451840.

The previous prime is 1270906434541. The next prime is 1270906434619. The reversal of 1270906434560 is 654346090721.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141097577 + ... + 141106583.

Almost surely, 2^{1270906434560} is an apocalyptic number.

1270906434560 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 1270906434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812664418304).

1270906434560 is an abundant number, since it is smaller than the sum of its proper divisors (2354422402048).

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

1270906434560 is a wasteful number, since it uses less digits than its factorization.

1270906434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9197 (or 9179 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 1270906434560 in words is "one trillion, two hundred seventy billion, nine hundred six million, four hundred thirty-four thousand, five hundred sixty".