4038050016 has 1152 divisors, whose sum is σ = 17374694400. Its totient is φ = 894136320.

The previous prime is 4038050011. The next prime is 4038050017. The reversal of 4038050016 is 6100508304.

4038050016 = 21³ + 22³ + ... + 356³.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038050011) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 139243090 + ... + 139243118.

It is an arithmetic number, because the mean of its divisors is an integer number (15082200).

Almost surely, 2^4038050016 is an apocalyptic number.

4038050016 is a gapful number since it is divisible by the number (46) 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 4038050016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8687347200).

4038050016 is an abundant number, since it is smaller than the sum of its proper divisors (13336644384).

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

4038050016 is a wasteful number, since it uses less digits than its factorization.

4038050016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4038050016 is about 63545.6530063229. The cubic root of 4038050016 is about 1592.4185620312.

The spelling of 4038050016 in words is "four billion, thirty-eight million, fifty thousand, sixteen".