73543981440 has 512 divisors, whose sum is σ = 251341056000. Its totient is φ = 18259476480.

The previous prime is 73543981429. The next prime is 73543981457. The reversal of 73543981440 is 4418934537.

It is a super-3 number, since 3×73543981440³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73543981440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200392137 + ... + 200392503.

It is an arithmetic number, because the mean of its divisors is an integer number (490900500).

Almost surely, 2^73543981440 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 73543981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125670528000).

73543981440 is an abundant number, since it is smaller than the sum of its proper divisors (177797074560).

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

73543981440 is a wasteful number, since it uses less digits than its factorization.

73543981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 73543981440 in words is "seventy-three billion, five hundred forty-three million, nine hundred eighty-one thousand, four hundred forty".