4538903040 has 800 divisors, whose sum is σ = 19250732160. Its totient is φ = 1000636416.

The previous prime is 4538903021. The next prime is 4538903059. The reversal of 4538903040 is 403098354.

4538903040 is a `hidden beast` number, since 4 + 538 + 90 + 30 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4538903021) and next prime (4538903059).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4538902986 and 4538903004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 76930531 + ... + 76930589.

Almost surely, 2^4538903040 is an apocalyptic number.

4538903040 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 4538903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625366080).

4538903040 is an abundant number, since it is smaller than the sum of its proper divisors (14711829120).

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

4538903040 is an equidigital number, since it uses as much as digits as its factorization.

4538903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4538903040 is about 67371.3814612703. The cubic root of 4538903040 is about 1655.7075728130.

The spelling of 4538903040 in words is "four billion, five hundred thirty-eight million, nine hundred three thousand, forty".