42224400000 has 576 divisors, whose sum is σ = 156468344760. Its totient is φ = 10920960000.

The previous prime is 42224399981. The next prime is 42224400137. The reversal of 42224400000 is 442224.

42224400000 is a `hidden beast` number, since 4 + 222 + 440 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 21439987776 + 20784412224 = 146424^2 + 144168^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 133199842 + ... + 133200158.

Almost surely, 2^42224400000 is an apocalyptic number.

42224400000 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 42224400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78234172380).

42224400000 is an abundant number, since it is smaller than the sum of its proper divisors (114243944760).

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

42224400000 is an equidigital number, since it uses as much as digits as its factorization.

42224400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 42224400000 its reverse (442224), we get a palindrome (42224842224).

The spelling of 42224400000 in words is "forty-two billion, two hundred twenty-four million, four hundred thousand".