4890378240 has 600 divisors, whose sum is σ = 19411695072. Its totient is φ = 1167851520.

The previous prime is 4890378221. The next prime is 4890378277. The reversal of 4890378240 is 428730984.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72990687 + ... + 72990753.

Almost surely, 2^4890378240 is an apocalyptic number.

4890378240 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 4890378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9705847536).

4890378240 is an abundant number, since it is smaller than the sum of its proper divisors (14521316832).

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

4890378240 is an equidigital number, since it uses as much as digits as its factorization.

4890378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4890378240 is about 69931.2393712567. The cubic root of 4890378240 is about 1697.3867855256.

The spelling of 4890378240 in words is "four billion, eight hundred ninety million, three hundred seventy-eight thousand, two hundred forty".