4132678401 has 28 divisors (see below), whose sum is σ = 6213836160. Its totient is φ = 2747270520.

The previous prime is 4132678397. The next prime is 4132678471. The reversal of 4132678401 is 1048762314.

4132678401 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4132678401 - 2² = 4132678397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4132678471) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 253816 + ... + 269606.

It is an arithmetic number, because the mean of its divisors is an integer number (221922720).

Almost surely, 2^4132678401 is an apocalyptic number.

It is an amenable number.

4132678401 is a deficient number, since it is larger than the sum of its proper divisors (2081157759).

4132678401 is an equidigital number, since it uses as much as digits as its factorization.

4132678401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16168 (or 16153 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4132678401 is about 64285.9113725550. The cubic root of 4132678401 is about 1604.7616485951.

The spelling of 4132678401 in words is "four billion, one hundred thirty-two million, six hundred seventy-eight thousand, four hundred one".