31441140000 has 180 divisors, whose sum is σ = 111728302686. Its totient is φ = 8384256000.

The previous prime is 31441139999. The next prime is 31441140023. The reversal of 31441140000 is 4114413.

It can be written as a sum of positive squares in 5 ways, for example, as 5572921104 + 25868218896 = 74652^2 + 160836^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 92664 + ... + 267336.

Almost surely, 2^31441140000 is an apocalyptic number.

31441140000 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 31441140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55864151343).

31441140000 is an abundant number, since it is smaller than the sum of its proper divisors (80287162686).

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

31441140000 is a wasteful number, since it uses less digits than its factorization.

31441140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174709 (or 174683 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31441140000 its reverse (4114413), we get a palindrome (31445254413).

The spelling of 31441140000 in words is "thirty-one billion, four hundred forty-one million, one hundred forty thousand".