73344061440 has 1040 divisors, whose sum is σ = 299711966400. Its totient is φ = 17008164864.

The previous prime is 73344061423. The next prime is 73344061463. The reversal of 73344061440 is 4416044337.

73344061440 is a `hidden beast` number, since 7 + 3 + 34 + 4 + 0 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1040).

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

It is a junction number, because it is equal to n+sod(n) for n = 73344061395 and 73344061404.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 409743271 + ... + 409743449.

Almost surely, 2^73344061440 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 73344061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149855983200).

73344061440 is an abundant number, since it is smaller than the sum of its proper divisors (226367904960).

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

73344061440 is a wasteful number, since it uses less digits than its factorization.

73344061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 73344061440 in words is "seventy-three billion, three hundred forty-four million, sixty-one thousand, four hundred forty".