39428391703680 has 6144 divisors, whose sum is σ = 194798131200000. Its totient is φ = 7337844670464.

The previous prime is 39428391703637. The next prime is 39428391703681. The reversal of 39428391703680 is 8630719382493.

39428391703680 is a `hidden beast` number, since 3 + 9 + 42 + 83 + 91 + 70 + 368 + 0 = 666.

39428391703680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (39428391703681) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 443015637076 + ... + 443015637164.

It is an arithmetic number, because the mean of its divisors is an integer number (31705425000).

Almost surely, 2^{39428391703680} is an apocalyptic number.

39428391703680 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 39428391703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97399065600000).

39428391703680 is an abundant number, since it is smaller than the sum of its proper divisors (155369739496320).

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

39428391703680 is a wasteful number, since it uses less digits than its factorization.

39428391703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 39428391703680 in words is "thirty-nine trillion, four hundred twenty-eight billion, three hundred ninety-one million, seven hundred three thousand, six hundred eighty".