42619699200 has 816 divisors, whose sum is σ = 163828264320. Its totient is φ = 9688842240.

The previous prime is 42619699183. The next prime is 42619699207. The reversal of 42619699200 is 299691624.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42619699200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42619699207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1469644786 + ... + 1469644814.

Almost surely, 2^42619699200 is an apocalyptic number.

42619699200 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 42619699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81914132160).

42619699200 is an abundant number, since it is smaller than the sum of its proper divisors (121208565120).

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

42619699200 is a wasteful number, since it uses less digits than its factorization.

42619699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 42619699200 in words is "forty-two billion, six hundred nineteen million, six hundred ninety-nine thousand, two hundred".