42029887200 has 864 divisors, whose sum is σ = 170561583360. Its totient is φ = 8941363200.

The previous prime is 42029887187. The next prime is 42029887243. The reversal of 42029887200 is 278892024.

It is a super-2 number, since 2×42029887200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110896611 + ... + 110896989.

It is an arithmetic number, because the mean of its divisors is an integer number (197409240).

Almost surely, 2^42029887200 is an apocalyptic number.

42029887200 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 42029887200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85280791680).

42029887200 is an abundant number, since it is smaller than the sum of its proper divisors (128531696160).

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

42029887200 is a wasteful number, since it uses less digits than its factorization.

42029887200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 42029887200 in words is "forty-two billion, twenty-nine million, eight hundred eighty-seven thousand, two hundred".