4862261040 has 320 divisors, whose sum is σ = 18708135936. Its totient is φ = 1017225216.

The previous prime is 4862261039. The next prime is 4862261081. The reversal of 4862261040 is 401622684.

It is a super-2 number, since 2×4862261040² = 47283164842203763200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4862260992 and 4862261010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2772804 + ... + 2774556.

Almost surely, 2^4862261040 is an apocalyptic number.

4862261040 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 4862261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354067968).

4862261040 is an abundant number, since it is smaller than the sum of its proper divisors (13845874896).

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

4862261040 is a wasteful number, since it uses less digits than its factorization.

4862261040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 4862261040 is about 69729.9149576421. The cubic root of 4862261040 is about 1694.1274927544.

The spelling of 4862261040 in words is "four billion, eight hundred sixty-two million, two hundred sixty-one thousand, forty".