73144711440 has 60 divisors (see below), whose sum is σ = 245644325004. Its totient is φ = 19505256192.

The previous prime is 73144711319. The next prime is 73144711501. The reversal of 73144711440 is 4411744137.

73144711440 is a `hidden beast` number, since 7 + 3 + 144 + 71 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56089396224 + 17055315216 = 236832^2 + 130596^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 73144711395 and 73144711404.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50794219 + ... + 50795658.

Almost surely, 2^73144711440 is an apocalyptic number.

It is an amenable number.

73144711440 is an abundant number, since it is smaller than the sum of its proper divisors (172499613564).

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

73144711440 is a wasteful number, since it uses less digits than its factorization.

73144711440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101589896 (or 101589887 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 73144711440 in words is "seventy-three billion, one hundred forty-four million, seven hundred eleven thousand, four hundred forty".