42282374400 has 972 divisors, whose sum is σ = 179171594784. Its totient is φ = 9483264000.

The previous prime is 42282374383. The next prime is 42282374423. The reversal of 42282374400 is 447328224.

42282374400 is a `hidden beast` number, since 4 + 2 + 282 + 374 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 200390295 + ... + 200390505.

Almost surely, 2^42282374400 is an apocalyptic number.

42282374400 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 42282374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89585797392).

42282374400 is an abundant number, since it is smaller than the sum of its proper divisors (136889220384).

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

42282374400 is a wasteful number, since it uses less digits than its factorization.

42282374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 42282374400 in words is "forty-two billion, two hundred eighty-two million, three hundred seventy-four thousand, four hundred".