42427224364800 has 648 divisors, whose sum is σ = 157834695432960. Its totient is φ = 9953553408000.

The previous prime is 42427224364783. The next prime is 42427224364807. The reversal of 42427224364800 is 846342272424.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42427224364800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42427224364807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202858681 + ... + 203067719.

Almost surely, 2^{42427224364800} is an apocalyptic number.

42427224364800 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 42427224364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78917347716480).

42427224364800 is an abundant number, since it is smaller than the sum of its proper divisors (115407471068160).

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

42427224364800 is a wasteful number, since it uses less digits than its factorization.

42427224364800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209141 (or 209091 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 48.

The spelling of 42427224364800 in words is "forty-two trillion, four hundred twenty-seven billion, two hundred twenty-four million, three hundred sixty-four thousand, eight hundred".