42319999800 has 576 divisors, whose sum is σ = 160114752000. Its totient is φ = 10267845120.

The previous prime is 42319999751. The next prime is 42319999871. The reversal of 42319999800 is 899991324.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 72095107 + ... + 72095693.

It is an arithmetic number, because the mean of its divisors is an integer number (277977000).

Almost surely, 2^42319999800 is an apocalyptic number.

42319999800 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 42319999800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80057376000).

42319999800 is an abundant number, since it is smaller than the sum of its proper divisors (117794752200).

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

42319999800 is a wasteful number, since it uses less digits than its factorization.

42319999800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 42319999800 in words is "forty-two billion, three hundred nineteen million, nine hundred ninety-nine thousand, eight hundred".