1272434365440 has 3520 divisors, whose sum is σ = 6163245158400. Its totient is φ = 243847397376.

The previous prime is 1272434365439. The next prime is 1272434365483. The reversal of 1272434365440 is 445634342721.

1272434365440 is a `hidden beast` number, since 1 + 2 + 7 + 243 + 4 + 365 + 4 + 40 = 666.

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 319 ways as a sum of consecutive naturals, for example, 21566684131 + ... + 21566684189.

It is an arithmetic number, because the mean of its divisors is an integer number (1750921920).

Almost surely, 2^{1272434365440} is an apocalyptic number.

1272434365440 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 1272434365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081622579200).

1272434365440 is an abundant number, since it is smaller than the sum of its proper divisors (4890810792960).

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

1272434365440 is a wasteful number, since it uses less digits than its factorization.

1272434365440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 1272434365440 in words is "one trillion, two hundred seventy-two billion, four hundred thirty-four million, three hundred sixty-five thousand, four hundred forty".