31410225480 has 256 divisors, whose sum is σ = 100179763200. Its totient is φ = 7865948160.

The previous prime is 31410225479. The next prime is 31410225487. The reversal of 31410225480 is 8452201413.

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

It is not an unprimeable number, because it can be changed into a prime (31410225487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28632292 + ... + 28633388.

It is an arithmetic number, because the mean of its divisors is an integer number (391327200).

Almost surely, 2^31410225480 is an apocalyptic number.

31410225480 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 31410225480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50089881600).

31410225480 is an abundant number, since it is smaller than the sum of its proper divisors (68769537720).

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

31410225480 is a wasteful number, since it uses less digits than its factorization.

31410225480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 31410225480 its reverse (8452201413), we get a palindrome (39862426893).

The spelling of 31410225480 in words is "thirty-one billion, four hundred ten million, two hundred twenty-five thousand, four hundred eighty".