73412625440 has 768 divisors, whose sum is σ = 237027409920. Its totient is φ = 20815872000.

The previous prime is 73412625367. The next prime is 73412625547. The reversal of 73412625440 is 4452621437.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 73412625394 and 73412625403.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 824860916 + ... + 824861004.

It is an arithmetic number, because the mean of its divisors is an integer number (308629440).

Almost surely, 2^73412625440 is an apocalyptic number.

73412625440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73412625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118513704960).

73412625440 is an abundant number, since it is smaller than the sum of its proper divisors (163614784480).

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

73412625440 is a wasteful number, since it uses less digits than its factorization.

73412625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 73412625440 in words is "seventy-three billion, four hundred twelve million, six hundred twenty-five thousand, four hundred forty".