4840880040 has 216 divisors, whose sum is σ = 16690966110. Its totient is φ = 1216622592.

The previous prime is 4840879993. The next prime is 4840880053. The reversal of 4840880040 is 400880484.

It can be written as a sum of positive squares in 3 ways, for example, as 2666896164 + 2173983876 = 51642^2 + 46626^2 .

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 = 4840879977 and 4840880004.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 25082184 + ... + 25082376.

Almost surely, 2^4840880040 is an apocalyptic number.

4840880040 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 4840880040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8345483055).

4840880040 is an abundant number, since it is smaller than the sum of its proper divisors (11850086070).

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

4840880040 is a wasteful number, since it uses less digits than its factorization.

4840880040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 4840880040 is about 69576.4330790247. The cubic root of 4840880040 is about 1691.6406275311.

The spelling of 4840880040 in words is "four billion, eight hundred forty million, eight hundred eighty thousand, forty".