73730444387040 has 960 divisors, whose sum is σ = 307477104979968. Its totient is φ = 16282222387200.

The previous prime is 73730444387029. The next prime is 73730444387101. The reversal of 73730444387040 is 4078344403737.

It is a happy number.

73730444387040 is a `hidden beast` number, since 7 + 37 + 30 + 44 + 438 + 70 + 40 = 666.

It is a super-3 number, since 3×73730444387040³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1735180195 + ... + 1735222685.

Almost surely, 2^{73730444387040} is an apocalyptic number.

73730444387040 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 73730444387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153738552489984).

73730444387040 is an abundant number, since it is smaller than the sum of its proper divisors (233746660592928).

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

73730444387040 is a wasteful number, since it uses less digits than its factorization.

73730444387040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43173 (or 43156 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 73730444387040 in words is "seventy-three trillion, seven hundred thirty billion, four hundred forty-four million, three hundred eighty-seven thousand, forty".