20457284401 has 16 divisors (see below), whose sum is σ = 21866732800. Its totient is φ = 19081413648.

The previous prime is 20457284399. The next prime is 20457284411. The reversal of 20457284401 is 10448275402.

20457284401 is a nontrivial binomial coefficient, being equal to C(202274, 2).

It is a cyclic number.

It is not a de Polignac number, because 20457284401 - 2¹ = 20457284399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20457284411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3840526 + ... + 3845848.

It is an arithmetic number, because the mean of its divisors is an integer number (1366670800).

Almost surely, 2^20457284401 is an apocalyptic number.

20457284401 is the 202273-rd triangular number and also the 101137-th hexagonal number.

20457284401 is the 67425-th centered nonagonal number.

It is an amenable number.

20457284401 is a deficient number, since it is larger than the sum of its proper divisors (1409448399).

20457284401 is a wasteful number, since it uses less digits than its factorization.

20457284401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428.

The product of its (nonzero) digits is 71680, while the sum is 37.

The spelling of 20457284401 in words is "twenty billion, four hundred fifty-seven million, two hundred eighty-four thousand, four hundred one".