1330405125240 has 128 divisors (see below), whose sum is σ = 4013051688000. Its totient is φ = 352838320128.

The previous prime is 1330405125173. The next prime is 1330405125251. The reversal of 1330405125240 is 425215040331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1330405125198 and 1330405125207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18589846 + ... + 18661274.

Almost surely, 2^{1330405125240} is an apocalyptic number.

1330405125240 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 1330405125240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006525844000).

1330405125240 is an abundant number, since it is smaller than the sum of its proper divisors (2682646562760).

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

1330405125240 is a wasteful number, since it uses less digits than its factorization.

1330405125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72289 (or 72285 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1330405125240 in words is "one trillion, three hundred thirty billion, four hundred five million, one hundred twenty-five thousand, two hundred forty".