73123430400 has 1020 divisors, whose sum is σ = 294988392600. Its totient is φ = 17836277760.

The previous prime is 73123430389. The next prime is 73123430407. The reversal of 73123430400 is 403432137.

73123430400 is a `hidden beast` number, since 7 + 312 + 343 + 0 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73123430407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2521497586 + ... + 2521497614.

Almost surely, 2^73123430400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73123430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147494196300).

73123430400 is an abundant number, since it is smaller than the sum of its proper divisors (221864962200).

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

73123430400 is an equidigital number, since it uses as much as digits as its factorization.

73123430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 73123430400 its reverse (403432137), we get a palindrome (73526862537).

The spelling of 73123430400 in words is "seventy-three billion, one hundred twenty-three million, four hundred thirty thousand, four hundred".