4901400100 has 27 divisors (see below), whose sum is σ = 10637557651. Its totient is φ = 1960280000.

The previous prime is 4901400089. The next prime is 4901400131. The reversal of 4901400100 is 10041094.

The square root of 4901400100 is 70010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 232684516 + 4668715584 = 15254^2 + 68328^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 696600 + ... + 703600.

Almost surely, 2^4901400100 is an apocalyptic number.

4901400100 is the 70010-th square number.

It is an amenable number.

4901400100 is an abundant number, since it is smaller than the sum of its proper divisors (5736157551).

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

4901400100 is an frugal number, since it uses more digits than its factorization.

4901400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14016 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 4901400100 is about 1698.6610102241.

Multiplying 4901400100 by its product of nonzero digits (144), we get a square (705801614400 = 840120²).

Adding to 4901400100 its reverse (10041094), we get a palindrome (4911441194).

The spelling of 4901400100 in words is "four billion, nine hundred one million, four hundred thousand, one hundred".