1272137660640 has 1152 divisors, whose sum is σ = 5517638590464. Its totient is φ = 259241472000.

The previous prime is 1272137660627. The next prime is 1272137660687. The reversal of 1272137660640 is 460667312721.

1272137660640 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 1 + 37 + 6 + 606 + 4 + 0 = 666.

It is a super-2 number, since 2×1272137660640² (a number of 25 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 2227911555 + ... + 2227912125.

It is an arithmetic number, because the mean of its divisors is an integer number (4789616832).

Almost surely, 2^{1272137660640} is an apocalyptic number.

1272137660640 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 1272137660640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758819295232).

1272137660640 is an abundant number, since it is smaller than the sum of its proper divisors (4245500929824).

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

1272137660640 is a wasteful number, since it uses less digits than its factorization.

1272137660640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1272137660640 in words is "one trillion, two hundred seventy-two billion, one hundred thirty-seven million, six hundred sixty thousand, six hundred forty".