42126910364 has 72 divisors (see below), whose sum is σ = 92677549440. Its totient is φ = 16401036960.

The previous prime is 42126910361. The next prime is 42126910373. The reversal of 42126910364 is 46301962124.

It is a super-2 number, since 2×42126910364² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42126910361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5644067 + ... + 5651525.

Almost surely, 2^42126910364 is an apocalyptic number.

42126910364 is a gapful number since it is divisible by the number (44) 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 42126910364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46338774720).

42126910364 is an abundant number, since it is smaller than the sum of its proper divisors (50550639076).

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

42126910364 is a wasteful number, since it uses less digits than its factorization.

42126910364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9159 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 42126910364 in words is "forty-two billion, one hundred twenty-six million, nine hundred ten thousand, three hundred sixty-four".