39827422738320 has 240 divisors, whose sum is σ = 143653561476480. Its totient is φ = 9101446115328.

The previous prime is 39827422738283. The next prime is 39827422738339. The reversal of 39827422738320 is 2383722472893.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 54473736 + ... + 55200024.

It is an arithmetic number, because the mean of its divisors is an integer number (598556506152).

Almost surely, 2^{39827422738320} is an apocalyptic number.

39827422738320 is a gapful number since it is divisible by the number (30) 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 39827422738320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71826780738240).

39827422738320 is an abundant number, since it is smaller than the sum of its proper divisors (103826138738160).

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

39827422738320 is a wasteful number, since it uses less digits than its factorization.

39827422738320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730982 (or 730969 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 60.

The spelling of 39827422738320 in words is "thirty-nine trillion, eight hundred twenty-seven billion, four hundred twenty-two million, seven hundred thirty-eight thousand, three hundred twenty".