10427272401 has 64 divisors (see below), whose sum is σ = 17983336448. Its totient is φ = 5226778368.

The previous prime is 10427272399. The next prime is 10427272441.

10427272401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10427272401 - 2¹ = 10427272399 is a prime.

It is a super-3 number, since 3×10427272401³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10427272441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 422340 + ... + 446346.

It is an arithmetic number, because the mean of its divisors is an integer number (280989632).

Almost surely, 2^10427272401 is an apocalyptic number.

It is an amenable number.

10427272401 is a deficient number, since it is larger than the sum of its proper divisors (7556064047).

10427272401 is a wasteful number, since it uses less digits than its factorization.

10427272401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24110.

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 10427272401 in words is "ten billion, four hundred twenty-seven million, two hundred seventy-two thousand, four hundred one".