31404423121440 has 192 divisors, whose sum is σ = 99118940409216. Its totient is φ = 8358010191872.

The previous prime is 31404423121387. The next prime is 31404423121453. The reversal of 31404423121440 is 4412132440413.

It is a happy number.

31404423121440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×31404423121440³ (a number of 41 digits) contains 333 as substring.

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, 2128673104 + ... + 2128687856.

It is an arithmetic number, because the mean of its divisors is an integer number (516244481298).

Almost surely, 2^{31404423121440} is an apocalyptic number.

31404423121440 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 31404423121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49559470204608).

31404423121440 is an abundant number, since it is smaller than the sum of its proper divisors (67714517287776).

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

31404423121440 is a wasteful number, since it uses less digits than its factorization.

31404423121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23211 (or 23203 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 31404423121440 its reverse (4412132440413), we get a palindrome (35816555561853).

The spelling of 31404423121440 in words is "thirty-one trillion, four hundred four billion, four hundred twenty-three million, one hundred twenty-one thousand, four hundred forty".