1465630738800 has 120 divisors (see below), whose sum is σ = 4899030144384. Its totient is φ = 373842036480.

The previous prime is 1465630738769. The next prime is 1465630738801. The reversal of 1465630738800 is 88370365641.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1465630738801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26523682 + ... + 26578881.

Almost surely, 2^{1465630738800} is an apocalyptic number.

1465630738800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1465630738800 is an abundant number, since it is smaller than the sum of its proper divisors (3433399405584).

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

1465630738800 is a wasteful number, since it uses less digits than its factorization.

1465630738800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53102607 (or 53102596 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1465630738800 in words is "one trillion, four hundred sixty-five billion, six hundred thirty million, seven hundred thirty-eight thousand, eight hundred".