1264297114080 has 1728 divisors, whose sum is σ = 6094825611840. Its totient is φ = 242438676480.

The previous prime is 1264297114019. The next prime is 1264297114141. The reversal of 1264297114080 is 804117924621.

1264297114080 is a `hidden beast` number, since 1 + 2 + 6 + 429 + 7 + 1 + 140 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1264297114019) and next prime (1264297114141).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 332970742 + ... + 332974538.

It is an arithmetic number, because the mean of its divisors is an integer number (3527098155).

Almost surely, 2^{1264297114080} is an apocalyptic number.

1264297114080 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 1264297114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047412805920).

1264297114080 is an abundant number, since it is smaller than the sum of its proper divisors (4830528497760).

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

1264297114080 is a wasteful number, since it uses less digits than its factorization.

1264297114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1264297114080 in words is "one trillion, two hundred sixty-four billion, two hundred ninety-seven million, one hundred fourteen thousand, eighty".