1330026101400 has 192 divisors, whose sum is σ = 4303395993600. Its totient is φ = 339170191360.

The previous prime is 1330026101399. The next prime is 1330026101471. The reversal of 1330026101400 is 41016200331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72841072 + ... + 72859328.

It is an arithmetic number, because the mean of its divisors is an integer number (22413520800).

Almost surely, 2^{1330026101400} is an apocalyptic number.

1330026101400 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 1330026101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151697996800).

1330026101400 is an abundant number, since it is smaller than the sum of its proper divisors (2973369892200).

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

1330026101400 is a wasteful number, since it uses less digits than its factorization.

1330026101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23578 (or 23569 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 1330026101400 in words is "one trillion, three hundred thirty billion, twenty-six million, one hundred one thousand, four hundred".