4540788000 has 576 divisors, whose sum is σ = 18954044928. Its totient is φ = 1007769600.

The previous prime is 4540787989. The next prime is 4540788019. The reversal of 4540788000 is 8870454.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9323757 + ... + 9324243.

It is an arithmetic number, because the mean of its divisors is an integer number (32906328).

Almost surely, 2^4540788000 is an apocalyptic number.

4540788000 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 4540788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9477022464).

4540788000 is an abundant number, since it is smaller than the sum of its proper divisors (14413256928).

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

4540788000 is a wasteful number, since it uses less digits than its factorization.

4540788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 4540788000 is about 67385.3693319255. The cubic root of 4540788000 is about 1655.9367405647.

The spelling of 4540788000 in words is "four billion, five hundred forty million, seven hundred eighty-eight thousand".