31075413480 has 384 divisors, whose sum is σ = 109170996480. Its totient is φ = 7942717440.

The previous prime is 31075413469. The next prime is 31075413487. The reversal of 31075413480 is 8431457013.

It is a happy number.

31075413480 is a `hidden beast` number, since 3 + 1 + 0 + 7 + 541 + 34 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (31075413487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25533832 + ... + 25535048.

It is an arithmetic number, because the mean of its divisors is an integer number (284299470).

Almost surely, 2^31075413480 is an apocalyptic number.

31075413480 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 31075413480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54585498240).

31075413480 is an abundant number, since it is smaller than the sum of its proper divisors (78095583000).

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

31075413480 is a wasteful number, since it uses less digits than its factorization.

31075413480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 31075413480 in words is "thirty-one billion, seventy-five million, four hundred thirteen thousand, four hundred eighty".