73440458001 has 21 divisors (see below), whose sum is σ = 110121287851. Its totient is φ = 48955427352.

The previous prime is 73440457967. The next prime is 73440458011. The reversal of 73440458001 is 10085404437.

The square root of 73440458001 is 270999.

It is a perfect power (a square), and thus also a powerful number.

73440458001 is a `hidden beast` number, since 7 + 34 + 40 + 4 + 580 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24565860225 + 48874597776 = 156735^2 + 221076^2 .

It is not a de Polignac number, because 73440458001 - 2¹³ = 73440449809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73440458011) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 7311955 + ... + 7321991.

Almost surely, 2^73440458001 is an apocalyptic number.

73440458001 is the 270999-th square number.

73440458001 is the 135500-th centered octagonal number.

It is an amenable number.

73440458001 is a deficient number, since it is larger than the sum of its proper divisors (36680829850).

73440458001 is an frugal number, since it uses more digits than its factorization.

73440458001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20092 (or 10040 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 73440458001 by its sum of digits (36), we get a square (2643856488036 = 1625994²).

It can be divided in two parts, 73440 and 458001, that added together give a 12-th power (531441 = 3¹²).

The spelling of 73440458001 in words is "seventy-three billion, four hundred forty million, four hundred fifty-eight thousand, one".