4961259900 has 108 divisors (see below), whose sum is σ = 15770021904. Its totient is φ = 1304352000.

The previous prime is 4961259859. The next prime is 4961259907. The reversal of 4961259900 is 99521694.

4961259900 is a `hidden beast` number, since 49 + 6 + 12 + 599 + 0 + 0 = 666.

It is a super-2 number, since 2×4961259900² = 49228199590696020000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4961259907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25080 + ... + 102720.

Almost surely, 2^4961259900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4961259900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885010952).

4961259900 is an abundant number, since it is smaller than the sum of its proper divisors (10808762004).

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

4961259900 is a wasteful number, since it uses less digits than its factorization.

4961259900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77732 (or 77722 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 4961259900 is about 70436.2115676305. The cubic root of 4961259900 is about 1705.5481821632.

The spelling of 4961259900 in words is "four billion, nine hundred sixty-one million, two hundred fifty-nine thousand, nine hundred".