10201413042 has 48 divisors (see below), whose sum is σ = 22873923072. Its totient is φ = 3283282080.

The previous prime is 10201413017. The next prime is 10201413059. The reversal of 10201413042 is 24031410201.

10201413042 is a `hidden beast` number, since 10 + 201 + 413 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28783 + ... + 145709.

It is an arithmetic number, because the mean of its divisors is an integer number (476540064).

Almost surely, 2^10201413042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201413042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11436961536).

10201413042 is an abundant number, since it is smaller than the sum of its proper divisors (12672510030).

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

10201413042 is a wasteful number, since it uses less digits than its factorization.

10201413042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117103 (or 117100 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10201413042 its reverse (24031410201), we get a palindrome (34232823243).

The spelling of 10201413042 in words is "ten billion, two hundred one million, four hundred thirteen thousand, forty-two".