4890367440 has 640 divisors, whose sum is σ = 20998656000. Its totient is φ = 1020708864.

The previous prime is 4890367403. The next prime is 4890367457. The reversal of 4890367440 is 447630984.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8330827 + ... + 8331413.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^4890367440 is an apocalyptic number.

4890367440 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 4890367440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499328000).

4890367440 is an abundant number, since it is smaller than the sum of its proper divisors (16108288560).

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

4890367440 is a wasteful number, since it uses less digits than its factorization.

4890367440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4890367440 is about 69931.1621525054. The cubic root of 4890367440 is about 1697.3855360114.

The spelling of 4890367440 in words is "four billion, eight hundred ninety million, three hundred sixty-seven thousand, four hundred forty".