73451840400 has 135 divisors (see below), whose sum is σ = 254954732851. Its totient is φ = 19582821120.

The previous prime is 73451840389. The next prime is 73451840411. The reversal of 73451840400 is 404815437.

The square root of 73451840400 is 271020.

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

73451840400 is a `hidden beast` number, since 73 + 4 + 5 + 184 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (73451840389) and next prime (73451840411).

It can be written as a sum of positive squares in 4 ways, for example, as 42487103376 + 30964737024 = 206124^2 + 175968^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16258942 + ... + 16263458.

Almost surely, 2^73451840400 is an apocalyptic number.

73451840400 is the 271020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73451840400

73451840400 is an abundant number, since it is smaller than the sum of its proper divisors (181502892451).

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

73451840400 is an equidigital number, since it uses as much as digits as its factorization.

73451840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9058 (or 4527 counting only the distinct ones).

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

Multiplying 73451840400 by its sum of digits (36), we get a square (2644266254400 = 1626120²).

73451840400 divided by its sum of digits (36) gives a square (2040328900 = 45170²).

The spelling of 73451840400 in words is "seventy-three billion, four hundred fifty-one million, eight hundred forty thousand, four hundred".