42327014400 has 1056 divisors, whose sum is σ = 179101036800. Its totient is φ = 9687859200.

The previous prime is 42327014383. The next prime is 42327014413. The reversal of 42327014400 is 441072324.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×42327014400² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144460654 + ... + 144460946.

Almost surely, 2^42327014400 is an apocalyptic number.

42327014400 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 42327014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89550518400).

42327014400 is an abundant number, since it is smaller than the sum of its proper divisors (136774022400).

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

42327014400 is a wasteful number, since it uses less digits than its factorization.

42327014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 42327014400 its reverse (441072324), we get a palindrome (42768086724).

The spelling of 42327014400 in words is "forty-two billion, three hundred twenty-seven million, fourteen thousand, four hundred".