31442452000 has 192 divisors, whose sum is σ = 84015955296. Its totient is φ = 11516313600.

The previous prime is 31442451991. The next prime is 31442452001. The reversal of 31442452000 is 25424413.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1003368976 + 30439083024 = 31676^2 + 174468^2 .

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 (31442452001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2509752 + ... + 2522248.

Almost surely, 2^31442452000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31442452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42007977648).

31442452000 is an abundant number, since it is smaller than the sum of its proper divisors (52573503296).

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

31442452000 is a wasteful number, since it uses less digits than its factorization.

31442452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576 (or 12558 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 31442452000 its reverse (25424413), we get a palindrome (31467876413).

It can be divided in two parts, 3144245 and 2000, that multiplied together give a square (6288490000 = 79300²).

The spelling of 31442452000 in words is "thirty-one billion, four hundred forty-two million, four hundred fifty-two thousand".