4101052401 has 12 divisors (see below), whose sum is σ = 5924375028. Its totient is φ = 2733742944.

The previous prime is 4101052399. The next prime is 4101052411. The reversal of 4101052401 is 1042501014.

4101052401 is a `hidden beast` number, since 410 + 10 + 5 + 240 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 602211600 + 3498840801 = 24540^2 + 59151^2 .

It is not a de Polignac number, because 4101052401 - 2¹ = 4101052399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4101052411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95871 + ... + 131883.

It is an arithmetic number, because the mean of its divisors is an integer number (493697919).

Almost surely, 2^4101052401 is an apocalyptic number.

It is an amenable number.

4101052401 is a deficient number, since it is larger than the sum of its proper divisors (1823322627).

4101052401 is a wasteful number, since it uses less digits than its factorization.

4101052401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48672 (or 48669 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 4101052401 is about 64039.4597182081. The cubic root of 4101052401 is about 1600.6575944075.

Adding to 4101052401 its reverse (1042501014), we get a palindrome (5143553415).

The spelling of 4101052401 in words is "four billion, one hundred one million, fifty-two thousand, four hundred one".