42102413010 has 192 divisors, whose sum is σ = 136305642240. Its totient is φ = 9057208320.

The previous prime is 42102412903. The next prime is 42102413057. The reversal of 42102413010 is 1031420124.

42102413010 is a `hidden beast` number, since 421 + 0 + 241 + 3 + 0 + 1 + 0 = 666.

It is a super-2 number, since 2×42102413010² (a number of 22 digits) contains 22 as substring.

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 (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507670 + ... + 584750.

It is an arithmetic number, because the mean of its divisors is an integer number (709925220).

Almost surely, 2^42102413010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102413010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68152821120).

42102413010 is an abundant number, since it is smaller than the sum of its proper divisors (94203229230).

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

42102413010 is a wasteful number, since it uses less digits than its factorization.

42102413010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77138 (or 77115 counting only the distinct ones).

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

Adding to 42102413010 its reverse (1031420124), we get a palindrome (43133833134).

The spelling of 42102413010 in words is "forty-two billion, one hundred two million, four hundred thirteen thousand, ten".