31441554144 has 288 divisors, whose sum is σ = 120050671104. Its totient is φ = 7538365440.

The previous prime is 31441554113. The next prime is 31441554149. The reversal of 31441554144 is 44145514413.

31441554144 is a `hidden beast` number, since 31 + 4 + 41 + 5 + 541 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31441554099 and 31441554108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31441554149) 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, 233757 + ... + 342819.

It is an arithmetic number, because the mean of its divisors is an integer number (416842608).

Almost surely, 2^31441554144 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 31441554144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60025335552).

31441554144 is an abundant number, since it is smaller than the sum of its proper divisors (88609116960).

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

31441554144 is a wasteful number, since it uses less digits than its factorization.

31441554144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109110 (or 109099 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

It can be divided in two parts, 31441 and 554144, that added together give a palindrome (585585).

The spelling of 31441554144 in words is "thirty-one billion, four hundred forty-one million, five hundred fifty-four thousand, one hundred forty-four".