4038098640 has 80 divisors (see below), whose sum is σ = 12558589056. Its totient is φ = 1073344000.

The previous prime is 4038098629. The next prime is 4038098641. The reversal of 4038098640 is 468908304.

4038098640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4038098592 and 4038098601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038098641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47590 + ... + 101690.

Almost surely, 2^4038098640 is an apocalyptic number.

4038098640 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 4038098640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279294528).

4038098640 is an abundant number, since it is smaller than the sum of its proper divisors (8520490416).

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

4038098640 is a wasteful number, since it uses less digits than its factorization.

4038098640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54428 (or 54422 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 4038098640 is about 63546.0355962510. The cubic root of 4038098640 is about 1592.4249536847.

The spelling of 4038098640 in words is "four billion, thirty-eight million, ninety-eight thousand, six hundred forty".