42530400000 has 864 divisors, whose sum is σ = 172451462400. Its totient is φ = 10252800000.

The previous prime is 42530399999. The next prime is 42530400001. The reversal of 42530400000 is 403524.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42530399999) and next prime (42530400001).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42530400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 237599911 + ... + 237600089.

It is an arithmetic number, because the mean of its divisors is an integer number (199596600).

Almost surely, 2^42530400000 is an apocalyptic number.

42530400000 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 42530400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86225731200).

42530400000 is an abundant number, since it is smaller than the sum of its proper divisors (129921062400).

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

42530400000 is an equidigital number, since it uses as much as digits as its factorization.

42530400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

Adding to 42530400000 its reverse (403524), we get a palindrome (42530803524).

The spelling of 42530400000 in words is "forty-two billion, five hundred thirty million, four hundred thousand".