73414158840 has 384 divisors, whose sum is σ = 276526897920. Its totient is φ = 17362252800.

The previous prime is 73414158833. The next prime is 73414158859. The reversal of 73414158840 is 4885141437.

73414158840 is a `hidden beast` number, since 7 + 3 + 414 + 158 + 84 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4375347 + ... + 4392093.

It is an arithmetic number, because the mean of its divisors is an integer number (720122130).

Almost surely, 2^73414158840 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 73414158840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138263448960).

73414158840 is an abundant number, since it is smaller than the sum of its proper divisors (203112739080).

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

73414158840 is a wasteful number, since it uses less digits than its factorization.

73414158840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16825 (or 16809 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 73414158840 in words is "seventy-three billion, four hundred fourteen million, one hundred fifty-eight thousand, eight hundred forty".