4837501440 has 400 divisors, whose sum is σ = 17780190120. Its totient is φ = 1256325120.

The previous prime is 4837501429. The next prime is 4837501451. The reversal of 4837501440 is 441057384.

It is an interprime number because it is at equal distance from previous prime (4837501429) and next prime (4837501451).

It can be written as a sum of positive squares in 4 ways, for example, as 1731891456 + 3105609984 = 41616^2 + 55728^2 .

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 = 4837501395 and 4837501404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8501476 + ... + 8502044.

Almost surely, 2^4837501440 is an apocalyptic number.

4837501440 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 4837501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8890095060).

4837501440 is an abundant number, since it is smaller than the sum of its proper divisors (12942688680).

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

4837501440 is an equidigital number, since it uses as much as digits as its factorization.

4837501440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4837501440 is about 69552.1490681632. The cubic root of 4837501440 is about 1691.2469864893.

The spelling of 4837501440 in words is "four billion, eight hundred thirty-seven million, five hundred one thousand, four hundred forty".