31444431000 has 256 divisors, whose sum is σ = 99859893120. Its totient is φ = 8236800000.

The previous prime is 31444430993. The next prime is 31444431047. The reversal of 31444431000 is 13444413.

It is a super-2 number, since 2×31444431000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47570670 + ... + 47571330.

Almost surely, 2^31444431000 is an apocalyptic number.

31444431000 is a gapful number since it is divisible by the number (30) 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 31444431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49929946560).

31444431000 is an abundant number, since it is smaller than the sum of its proper divisors (68415462120).

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

31444431000 is a wasteful number, since it uses less digits than its factorization.

31444431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31444431000 its reverse (13444413), we get a palindrome (31457875413).

The spelling of 31444431000 in words is "thirty-one billion, four hundred forty-four million, four hundred thirty-one thousand".