42987369600 has 1536 divisors, whose sum is σ = 197248089600. Its totient is φ = 8918138880.

The previous prime is 42987369599. The next prime is 42987369647. The reversal of 42987369600 is 696378924.

It is a happy number.

42987369600 is a `hidden beast` number, since 4 + 29 + 8 + 7 + 3 + 6 + 9 + 600 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 380419144 + ... + 380419256.

It is an arithmetic number, because the mean of its divisors is an integer number (128416725).

Almost surely, 2^42987369600 is an apocalyptic number.

42987369600 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 42987369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98624044800).

42987369600 is an abundant number, since it is smaller than the sum of its proper divisors (154260720000).

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

42987369600 is a wasteful number, since it uses less digits than its factorization.

42987369600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 42987369600 in words is "forty-two billion, nine hundred eighty-seven million, three hundred sixty-nine thousand, six hundred".