4038005840 has 80 divisors (see below), whose sum is σ = 10268289216. Its totient is φ = 1464576000.

The previous prime is 4038005831. The next prime is 4038005861. The reversal of 4038005840 is 485008304.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4038005797 and 4038005806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347159 + ... + 358601.

Almost surely, 2^4038005840 is an apocalyptic number.

4038005840 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 4038005840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134144608).

4038005840 is an abundant number, since it is smaller than the sum of its proper divisors (6230283376).

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

4038005840 is a wasteful number, since it uses less digits than its factorization.

4038005840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11868 (or 11862 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 4038005840 is about 63545.3054127526. The cubic root of 4038005840 is about 1592.4127550254.

The spelling of 4038005840 in words is "four billion, thirty-eight million, five thousand, eight hundred forty".