31045441440 has 192 divisors, whose sum is σ = 105514690176. Its totient is φ = 7627517952.

The previous prime is 31045441439. The next prime is 31045441489. The reversal of 31045441440 is 4414454013.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31045441398 and 31045441407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3508702 + ... + 3517538.

It is an arithmetic number, because the mean of its divisors is an integer number (549555678).

Almost surely, 2^31045441440 is an apocalyptic number.

31045441440 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 31045441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52757345088).

31045441440 is an abundant number, since it is smaller than the sum of its proper divisors (74469248736).

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

31045441440 is a wasteful number, since it uses less digits than its factorization.

31045441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431 (or 9423 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 31045441440 its reverse (4414454013), we get a palindrome (35459895453).

The spelling of 31045441440 in words is "thirty-one billion, forty-five million, four hundred forty-one thousand, four hundred forty".