18958717440 has 600 divisors, whose sum is σ = 73665243828. Its totient is φ = 4658135040.

The previous prime is 18958717391. The next prime is 18958717529. The reversal of 18958717440 is 4471785981.

18958717440 is a `hidden beast` number, since 1 + 8 + 9 + 587 + 17 + 4 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1369592064 + 17589125376 = 37008^2 + 132624^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35043570 + ... + 35044110.

Almost surely, 2^18958717440 is an apocalyptic number.

18958717440 is a gapful number since it is divisible by the number (10) 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 18958717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36832621914).

18958717440 is an abundant number, since it is smaller than the sum of its proper divisors (54706526388).

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

18958717440 is an equidigital number, since it uses as much as digits as its factorization.

18958717440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 18958717440 in words is "eighteen billion, nine hundred fifty-eight million, seven hundred seventeen thousand, four hundred forty".