1330447472640 has 1152 divisors, whose sum is σ = 5619367353600. Its totient is φ = 297642885120.

The previous prime is 1330447472633. The next prime is 1330447472713. The reversal of 1330447472640 is 462747440331.

1330447472640 is a `hidden beast` number, since 1 + 3 + 304 + 47 + 47 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355827891 + ... + 355831629.

It is an arithmetic number, because the mean of its divisors is an integer number (4877923050).

Almost surely, 2^{1330447472640} is an apocalyptic number.

1330447472640 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 1330447472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809683676800).

1330447472640 is an abundant number, since it is smaller than the sum of its proper divisors (4288919880960).

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

1330447472640 is a wasteful number, since it uses less digits than its factorization.

1330447472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 1330447472640 in words is "one trillion, three hundred thirty billion, four hundred forty-seven million, four hundred seventy-two thousand, six hundred forty".