42377630400 has 1512 divisors, whose sum is σ = 192542922000. Its totient is φ = 8778792960.

The previous prime is 42377630363. The next prime is 42377630401. The reversal of 42377630400 is 403677324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42377630401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 388785546 + ... + 388785654.

Almost surely, 2^42377630400 is an apocalyptic number.

42377630400 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 42377630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96271461000).

42377630400 is an abundant number, since it is smaller than the sum of its proper divisors (150165291600).

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

42377630400 is a wasteful number, since it uses less digits than its factorization.

42377630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 42377630400 in words is "forty-two billion, three hundred seventy-seven million, six hundred thirty thousand, four hundred".