73040373241920 has 1008 divisors, whose sum is σ = 309721432717440. Its totient is φ = 16156305930240.

The previous prime is 73040373241903. The next prime is 73040373241949. The reversal of 73040373241920 is 2914237304037.

73040373241920 is a `hidden beast` number, since 7 + 30 + 4 + 0 + 373 + 241 + 9 + 2 + 0 = 666.

73040373241920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×73040373241920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 406759197 + ... + 406938723.

Almost surely, 2^{73040373241920} is an apocalyptic number.

73040373241920 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 73040373241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154860716358720).

73040373241920 is an abundant number, since it is smaller than the sum of its proper divisors (236681059475520).

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

73040373241920 is a wasteful number, since it uses less digits than its factorization.

73040373241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179629 (or 179575 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 73040373241920 in words is "seventy-three trillion, forty billion, three hundred seventy-three million, two hundred forty-one thousand, nine hundred twenty".