31482335040 has 448 divisors, whose sum is σ = 114415580160. Its totient is φ = 7276953600.

The previous prime is 31482334993. The next prime is 31482335047. The reversal of 31482335040 is 4053328413.

It is a super-2 number, since 2×31482335040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31482334992 and 31482335010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31482335047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13389865 + ... + 13392215.

It is an arithmetic number, because the mean of its divisors is an integer number (255391920).

Almost surely, 2^31482335040 is an apocalyptic number.

31482335040 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 31482335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57207790080).

31482335040 is an abundant number, since it is smaller than the sum of its proper divisors (82933245120).

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

31482335040 is a wasteful number, since it uses less digits than its factorization.

31482335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2450 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 31482335040 in words is "thirty-one billion, four hundred eighty-two million, three hundred thirty-five thousand, forty".