10402212042 has 96 divisors (see below), whose sum is σ = 24736654800. Its totient is φ = 3145734144.

The previous prime is 10402211999. The next prime is 10402212077. The reversal of 10402212042 is 24021220401.

10402212042 is a `hidden beast` number, since 10 + 402 + 212 + 0 + 42 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8080032321 + 2322179721 = 89889^2 + 48189^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229884 + ... + 1238312.

Almost surely, 2^10402212042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402212042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12368327400).

10402212042 is an abundant number, since it is smaller than the sum of its proper divisors (14334442758).

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

10402212042 is a wasteful number, since it uses less digits than its factorization.

10402212042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8600 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10402212042 its reverse (24021220401), we get a palindrome (34423432443).

The spelling of 10402212042 in words is "ten billion, four hundred two million, two hundred twelve thousand, forty-two".