1308125401440 has 384 divisors, whose sum is σ = 4851043126272. Its totient is φ = 292118814720.

The previous prime is 1308125401417. The next prime is 1308125401463. The reversal of 1308125401440 is 441045218031.

It is an interprime number because it is at equal distance from previous prime (1308125401417) and next prime (1308125401463).

It is a super-2 number, since 2×1308125401440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33408114 + ... + 33447246.

It is an arithmetic number, because the mean of its divisors is an integer number (12632924808).

Almost surely, 2^{1308125401440} is an apocalyptic number.

1308125401440 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 1308125401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425521563136).

1308125401440 is an abundant number, since it is smaller than the sum of its proper divisors (3542917724832).

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

1308125401440 is a wasteful number, since it uses less digits than its factorization.

1308125401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39662 (or 39654 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The spelling of 1308125401440 in words is "one trillion, three hundred eight billion, one hundred twenty-five million, four hundred one thousand, four hundred forty".