42531150400000 has 480 divisors, whose sum is σ = 112467815349120. Its totient is φ = 16021923840000.

The previous prime is 42531150399953. The next prime is 42531150400001. The reversal of 42531150400000 is 405113524.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42531150400001) 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, 5259195957 + ... + 5259204043.

It is an arithmetic number, because the mean of its divisors is an integer number (234307948644).

Almost surely, 2^{42531150400000} is an apocalyptic number.

42531150400000 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 42531150400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56233907674560).

42531150400000 is an abundant number, since it is smaller than the sum of its proper divisors (69936664949120).

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

42531150400000 is an frugal number, since it uses more digits than its factorization.

42531150400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 42531150400000 its reverse (405113524), we get a palindrome (42531555513524).

The spelling of 42531150400000 in words is "forty-two trillion, five hundred thirty-one billion, one hundred fifty million, four hundred thousand".