42400368000 has 512 divisors, whose sum is σ = 158833584000. Its totient is φ = 11114496000.

The previous prime is 42400367959. The next prime is 42400368047. The reversal of 42400368000 is 86300424.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26351196 + ... + 26352804.

Almost surely, 2^42400368000 is an apocalyptic number.

42400368000 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 42400368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79416792000).

42400368000 is an abundant number, since it is smaller than the sum of its proper divisors (116433216000).

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

42400368000 is a wasteful number, since it uses less digits than its factorization.

42400368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42400368000 its reverse (86300424), we get a palindrome (42486668424).

The spelling of 42400368000 in words is "forty-two billion, four hundred million, three hundred sixty-eight thousand".