1465106040072 has 24 divisors (see below), whose sum is σ = 3967995525390. Its totient is φ = 488368680000.

The previous prime is 1465106040067. The next prime is 1465106040089. The reversal of 1465106040072 is 2700406015641.

1465106040072 is a `hidden beast` number, since 1 + 46 + 5 + 1 + 0 + 604 + 0 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1405234801476 + 59871238596 = 1185426^2 + 244686^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10174347429 + ... + 10174347572.

Almost surely, 2^{1465106040072} is an apocalyptic number.

1465106040072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1465106040072 is an abundant number, since it is smaller than the sum of its proper divisors (2502889485318).

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

1465106040072 is a wasteful number, since it uses less digits than its factorization.

1465106040072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20348695013 (or 20348695006 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1465106040072 in words is "one trillion, four hundred sixty-five billion, one hundred six million, forty thousand, seventy-two".