1301253418080 has 1152 divisors, whose sum is σ = 5918979225600. Its totient is φ = 261045227520.

The previous prime is 1301253418033. The next prime is 1301253418081. The reversal of 1301253418080 is 808143521031.

1301253418080 is a `hidden beast` number, since 1 + 30 + 1 + 2 + 534 + 18 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301253418081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106106029 + ... + 106118291.

It is an arithmetic number, because the mean of its divisors is an integer number (5138002800).

Almost surely, 2^{1301253418080} is an apocalyptic number.

1301253418080 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 1301253418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2959489612800).

1301253418080 is an abundant number, since it is smaller than the sum of its proper divisors (4617725807520).

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

1301253418080 is a wasteful number, since it uses less digits than its factorization.

1301253418080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12345 (or 12320 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1301253418080 in words is "one trillion, three hundred one billion, two hundred fifty-three million, four hundred eighteen thousand, eighty".