4002980461 has 16 divisors (see below), whose sum is σ = 4168131840. Its totient is φ = 3839734080.

The previous prime is 4002980453. The next prime is 4002980479. The reversal of 4002980461 is 1640892004.

It is a cyclic number.

It is not a de Polignac number, because 4002980461 - 2³ = 4002980453 is a prime.

It is a super-2 number, since 2×4002980461² = 32047705142295545042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002980411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4393596 + ... + 4394506.

It is an arithmetic number, because the mean of its divisors is an integer number (260508240).

Almost surely, 2^4002980461 is an apocalyptic number.

It is an amenable number.

4002980461 is a deficient number, since it is larger than the sum of its proper divisors (165151379).

4002980461 is a wasteful number, since it uses less digits than its factorization.

4002980461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 4002980461 is about 63269.1114288797. Note that the first 3 decimals coincide. The cubic root of 4002980461 is about 1587.7952196615.

The spelling of 4002980461 in words is "four billion, two million, nine hundred eighty thousand, four hundred sixty-one".