42312530400 has 288 divisors, whose sum is σ = 157980388608. Its totient is φ = 9635942400.

The previous prime is 42312530387. The next prime is 42312530401. The reversal of 42312530400 is 403521324.

42312530400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42312530401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4716319 + ... + 4725281.

It is an arithmetic number, because the mean of its divisors is an integer number (548543016).

Almost surely, 2^42312530400 is an apocalyptic number.

42312530400 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 42312530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78990194304).

42312530400 is an abundant number, since it is smaller than the sum of its proper divisors (115667858208).

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

42312530400 is a wasteful number, since it uses less digits than its factorization.

42312530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 9261 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 42312530400 in words is "forty-two billion, three hundred twelve million, five hundred thirty thousand, four hundred".