4003795840 has 256 divisors, whose sum is σ = 11068876800. Its totient is φ = 1370603520.

The previous prime is 4003795813. The next prime is 4003795841. The reversal of 4003795840 is 485973004.

It is a super-2 number, since 2×4003795840² = 32060762256802611200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4003795793 and 4003795802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4003795841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12791524 + ... + 12791836.

It is an arithmetic number, because the mean of its divisors is an integer number (43237800).

Almost surely, 2^4003795840 is an apocalyptic number.

4003795840 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 4003795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534438400).

4003795840 is an abundant number, since it is smaller than the sum of its proper divisors (7065080960).

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

4003795840 is a wasteful number, since it uses less digits than its factorization.

4003795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 4003795840 is about 63275.5548375516. The cubic root of 4003795840 is about 1587.9030199199.

The spelling of 4003795840 in words is "four billion, three million, seven hundred ninety-five thousand, eight hundred forty".