1274048455680 has 3696 divisors, whose sum is σ = 6398952655872. Its totient is φ = 236489932800.

The previous prime is 1274048455637. The next prime is 1274048455681. The reversal of 1274048455680 is 865548404721.

1274048455680 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 0 + 4 + 8 + 4 + 556 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

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

It is not an unprimeable number, because it can be changed into a prime (1274048455681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 41098337265 + ... + 41098337295.

Almost surely, 2^{1274048455680} is an apocalyptic number.

1274048455680 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 1274048455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199476327936).

1274048455680 is an abundant number, since it is smaller than the sum of its proper divisors (5124904200192).

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

1274048455680 is a wasteful number, since it uses less digits than its factorization.

1274048455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 1274048455680 in words is "one trillion, two hundred seventy-four billion, forty-eight million, four hundred fifty-five thousand, six hundred eighty".