42437990400 has 576 divisors, whose sum is σ = 154320435360. Its totient is φ = 10223616000.

The previous prime is 42437990393. The next prime is 42437990411. The reversal of 42437990400 is 409973424.

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, 105830200 + ... + 105830600.

Almost surely, 2^42437990400 is an apocalyptic number.

42437990400 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 42437990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77160217680).

42437990400 is an abundant number, since it is smaller than the sum of its proper divisors (111882444960).

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

42437990400 is a wasteful number, since it uses less digits than its factorization.

42437990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 42437990400 in words is "forty-two billion, four hundred thirty-seven million, nine hundred ninety thousand, four hundred".