37131441480 has 288 divisors, whose sum is σ = 148638405240. Its totient is φ = 7987875840.

The previous prime is 37131441449. The next prime is 37131441509. The reversal of 37131441480 is 8414413173.

37131441480 is a `hidden beast` number, since 3 + 7 + 131 + 4 + 41 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27147834756 + 9983606724 = 164766^2 + 99918^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 237970 + ... + 361790.

Almost surely, 2^37131441480 is an apocalyptic number.

37131441480 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 37131441480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74319202620).

37131441480 is an abundant number, since it is smaller than the sum of its proper divisors (111506963760).

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

37131441480 is a wasteful number, since it uses less digits than its factorization.

37131441480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123869 (or 123855 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 37131441480 in words is "thirty-seven billion, one hundred thirty-one million, four hundred forty-one thousand, four hundred eighty".