42361576400 has 240 divisors, whose sum is σ = 119868036288. Its totient is φ = 14183424000.

The previous prime is 42361576333. The next prime is 42361576447. The reversal of 42361576400 is 467516324.

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 47 ways as a sum of consecutive naturals, for example, 32660552 + ... + 32661848.

Almost surely, 2^42361576400 is an apocalyptic number.

42361576400 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 42361576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59934018144).

42361576400 is an abundant number, since it is smaller than the sum of its proper divisors (77506459888).

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

42361576400 is a wasteful number, since it uses less digits than its factorization.

42361576400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 42361576400 in words is "forty-two billion, three hundred sixty-one million, five hundred seventy-six thousand, four hundred".