1273742493408 has 1152 divisors, whose sum is σ = 4987390786560. Its totient is φ = 310661775360.

The previous prime is 1273742493389. The next prime is 1273742493427. The reversal of 1273742493408 is 8043942473721.

1273742493408 is a `hidden beast` number, since 1 + 2 + 73 + 7 + 42 + 493 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1273742493389) and next prime (1273742493427).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 2941668360 + ... + 2941668792.

It is an arithmetic number, because the mean of its divisors is an integer number (4329332280).

Almost surely, 2^{1273742493408} is an apocalyptic number.

1273742493408 is a gapful number since it is divisible by the number (18) 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 1273742493408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493695393280).

1273742493408 is an abundant number, since it is smaller than the sum of its proper divisors (3713648293152).

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

1273742493408 is an equidigital number, since it uses as much as digits as its factorization.

1273742493408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 1273742493408 in words is "one trillion, two hundred seventy-three billion, seven hundred forty-two million, four hundred ninety-three thousand, four hundred eight".