42102434000 has 120 divisors (see below), whose sum is σ = 111900561864. Its totient is φ = 15309888000.

The previous prime is 42102433993. The next prime is 42102434009. The reversal of 42102434000 is 43420124.

It can be written as a sum of positive squares in 4 ways, for example, as 815445136 + 41286988864 = 28556^2 + 203192^2 .

It is a super-2 number, since 2×42102434000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42102434009) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 155012 + ... + 328988.

Almost surely, 2^42102434000 is an apocalyptic number.

42102434000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42102434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55950280932).

42102434000 is an abundant number, since it is smaller than the sum of its proper divisors (69798127864).

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

42102434000 is a wasteful number, since it uses less digits than its factorization.

42102434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174022 (or 173995 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42102434000 its reverse (43420124), we get a palindrome (42145854124).

The spelling of 42102434000 in words is "forty-two billion, one hundred two million, four hundred thirty-four thousand".