73419146752400 has 240 divisors, whose sum is σ = 187891175601360. Its totient is φ = 27520027852800.

The previous prime is 73419146752387. The next prime is 73419146752417. The reversal of 73419146752400 is 425764191437.

It can be written as a sum of positive squares in 24 ways, for example, as 58269894774784 + 15149251977616 = 7633472^2 + 3892204^2 .

It is a super-2 number, since 2×73419146752400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91390874 + ... + 92190726.

It is an arithmetic number, because the mean of its divisors is an integer number (782879898339).

Almost surely, 2^{73419146752400} 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 73419146752400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93945587800680).

73419146752400 is an abundant number, since it is smaller than the sum of its proper divisors (114472028848960).

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

73419146752400 is a wasteful number, since it uses less digits than its factorization.

73419146752400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800134 (or 800123 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 73419146752400 in words is "seventy-three trillion, four hundred nineteen billion, one hundred forty-six million, seven hundred fifty-two thousand, four hundred".