1272406861440 has 768 divisors, whose sum is σ = 5170828440960. Its totient is φ = 284243558400.

The previous prime is 1272406861409. The next prime is 1272406861447. The reversal of 1272406861440 is 441686042721.

1272406861440 is a `hidden beast` number, since 1 + 2 + 7 + 24 + 0 + 6 + 8 + 614 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1272406861447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 702598135 + ... + 702599945.

Almost surely, 2^{1272406861440} is an apocalyptic number.

1272406861440 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 1272406861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585414220480).

1272406861440 is an abundant number, since it is smaller than the sum of its proper divisors (3898421579520).

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

1272406861440 is a wasteful number, since it uses less digits than its factorization.

1272406861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1272406861440 in words is "one trillion, two hundred seventy-two billion, four hundred six million, eight hundred sixty-one thousand, four hundred forty".