10420411664 has 80 divisors (see below), whose sum is σ = 23082116400. Its totient is φ = 4514611200.

The previous prime is 10420411633. The next prime is 10420411741. The reversal of 10420411664 is 46611402401.

It can be written as a sum of positive squares in 8 ways, for example, as 1520376064 + 8900035600 = 38992^2 + 94340^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1414262 + ... + 1421610.

It is an arithmetic number, because the mean of its divisors is an integer number (288526455).

Almost surely, 2^10420411664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420411664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11541058200).

10420411664 is an abundant number, since it is smaller than the sum of its proper divisors (12661704736).

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

10420411664 is a wasteful number, since it uses less digits than its factorization.

10420411664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7788 (or 7782 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 10420411664 in words is "ten billion, four hundred twenty million, four hundred eleven thousand, six hundred sixty-four".