73401334128 has 240 divisors, whose sum is σ = 218927654400. Its totient is φ = 22892544000.

The previous prime is 73401334103. The next prime is 73401334157. The reversal of 73401334128 is 82143310437.

73401334128 is a `hidden beast` number, since 73 + 40 + 133 + 412 + 8 = 666.

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 = 73401334092 and 73401334101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97737753 + ... + 97738503.

It is an arithmetic number, because the mean of its divisors is an integer number (912198560).

Almost surely, 2^73401334128 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 73401334128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109463827200).

73401334128 is an abundant number, since it is smaller than the sum of its proper divisors (145526320272).

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

73401334128 is a wasteful number, since it uses less digits than its factorization.

73401334128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 73401334128 in words is "seventy-three billion, four hundred one million, three hundred thirty-four thousand, one hundred twenty-eight".