42851267900 has 72 divisors (see below), whose sum is σ = 106377003936. Its totient is φ = 14677228800.

The previous prime is 42851267897. The next prime is 42851267911. The reversal of 42851267900 is 976215824.

It is a happy number.

It is a super-3 number, since 3×42851267900³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684722 + ... + 744678.

It is an arithmetic number, because the mean of its divisors is an integer number (1477458388).

Almost surely, 2^42851267900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42851267900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53188501968).

42851267900 is an abundant number, since it is smaller than the sum of its proper divisors (63525736036).

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

42851267900 is a wasteful number, since it uses less digits than its factorization.

42851267900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60999 (or 60992 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 42851267900 in words is "forty-two billion, eight hundred fifty-one million, two hundred sixty-seven thousand, nine hundred".