4001430100 has 36 divisors (see below), whose sum is σ = 8697310524. Its totient is φ = 1597953280.

The previous prime is 4001430089. The next prime is 4001430127. The reversal of 4001430100 is 10341004.

4001430100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 354719556 + 3646710544 = 18834^2 + 60388^2 .

It is a super-2 number, since 2×4001430100² = 32022885690372020000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29274 + ... + 94126.

It is an arithmetic number, because the mean of its divisors is an integer number (241591959).

Almost surely, 2^4001430100 is an apocalyptic number.

It is an amenable number.

4001430100 is an abundant number, since it is smaller than the sum of its proper divisors (4695880424).

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

4001430100 is a wasteful number, since it uses less digits than its factorization.

4001430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65484 (or 65477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4001430100 is about 63256.8581262143. The cubic root of 4001430100 is about 1587.5902079477.

Adding to 4001430100 its reverse (10341004), we get a palindrome (4011771104).

The spelling of 4001430100 in words is "four billion, one million, four hundred thirty thousand, one hundred".