94100728026240 has 2560 divisors, whose sum is σ = 400258287475200. Its totient is φ = 20844366004224.

The previous prime is 94100728026229. The next prime is 94100728026241. The reversal of 94100728026240 is 4262082700149.

94100728026240 is a `hidden beast` number, since 9 + 4 + 10 + 0 + 7 + 2 + 8 + 0 + 2 + 624 + 0 = 666.

94100728026240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×94100728026240² (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 not an unprimeable number, because it can be changed into a prime (94100728026241) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 35549952597 + ... + 35549955243.

It is an arithmetic number, because the mean of its divisors is an integer number (156350893545).

Almost surely, 2^{94100728026240} is an apocalyptic number.

94100728026240 is a gapful number since it is divisible by the number (90) 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 94100728026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200129143737600).

94100728026240 is an abundant number, since it is smaller than the sum of its proper divisors (306157559448960).

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

94100728026240 is a wasteful number, since it uses less digits than its factorization.

94100728026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 94100728026240 in words is "ninety-four trillion, one hundred billion, seven hundred twenty-eight million, twenty-six thousand, two hundred forty".