1330412145104 has 160 divisors (see below), whose sum is σ = 3048020152320. Its totient is φ = 550725267456.

The previous prime is 1330412145103. The next prime is 1330412145121. The reversal of 1330412145104 is 4015412140331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330412145103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460827149 + ... + 460830035.

It is an arithmetic number, because the mean of its divisors is an integer number (19050125952).

Almost surely, 2^{1330412145104} is an apocalyptic number.

1330412145104 is a gapful number since it is divisible by the number (14) 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 1330412145104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524010076160).

1330412145104 is an abundant number, since it is smaller than the sum of its proper divisors (1717608007216).

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

1330412145104 is a wasteful number, since it uses less digits than its factorization.

1330412145104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 1330412145104 its reverse (4015412140331), we get a palindrome (5345824285435).

The spelling of 1330412145104 in words is "one trillion, three hundred thirty billion, four hundred twelve million, one hundred forty-five thousand, one hundred four".