4038478080 has 648 divisors, whose sum is σ = 16374500352. Its totient is φ = 845365248.

The previous prime is 4038478049. The next prime is 4038478091. The reversal of 4038478080 is 808748304.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31798977 + ... + 31799103.

Almost surely, 2^4038478080 is an apocalyptic number.

4038478080 is a gapful number since it is divisible by the number (40) 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 4038478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187250176).

4038478080 is an abundant number, since it is smaller than the sum of its proper divisors (12336022272).

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

4038478080 is a wasteful number, since it uses less digits than its factorization.

4038478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 4038478080 is about 63549.0210782196. The cubic root of 4038478080 is about 1592.4748295341.

The spelling of 4038478080 in words is "four billion, thirty-eight million, four hundred seventy-eight thousand, eighty".