39818428416 has 340 divisors, whose sum is σ = 128335810372. Its totient is φ = 12230590464.

The previous prime is 39818428393. The next prime is 39818428451. The reversal of 39818428416 is 61482481893.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26011238400 + 13807190016 = 161280^2 + 117504^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69009120 + ... + 69009696.

Almost surely, 2^39818428416 is an apocalyptic number.

39818428416 is a gapful number since it is divisible by the number (36) 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 39818428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64167905186).

39818428416 is an abundant number, since it is smaller than the sum of its proper divisors (88517381956).

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

39818428416 is an frugal number, since it uses more digits than its factorization.

39818428416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 595 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 39818428416 in words is "thirty-nine billion, eight hundred eighteen million, four hundred twenty-eight thousand, four hundred sixteen".