42885970400 has 432 divisors, whose sum is σ = 133363776672. Its totient is φ = 13113446400.

The previous prime is 42885970381. The next prime is 42885970423. The reversal of 42885970400 is 407958824.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69960494 + ... + 69961106.

It is an arithmetic number, because the mean of its divisors is an integer number (308712446).

Almost surely, 2^42885970400 is an apocalyptic number.

42885970400 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 42885970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66681888336).

42885970400 is an abundant number, since it is smaller than the sum of its proper divisors (90477806272).

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

42885970400 is a wasteful number, since it uses less digits than its factorization.

42885970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 42885970400 in words is "forty-two billion, eight hundred eighty-five million, nine hundred seventy thousand, four hundred".