507131847040 has 1152 divisors, whose sum is σ = 1681525863360. Its totient is φ = 142619443200.

The previous prime is 507131847037. The next prime is 507131847073. The reversal of 507131847040 is 40748131705.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 507131846984 and 507131847002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12369069420 + ... + 12369069460.

Almost surely, 2^507131847040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507131847040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840762931680).

507131847040 is an abundant number, since it is smaller than the sum of its proper divisors (1174394016320).

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

507131847040 is a wasteful number, since it uses less digits than its factorization.

507131847040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

Adding to 507131847040 its reverse (40748131705), we get a palindrome (547879978745).

The spelling of 507131847040 in words is "five hundred seven billion, one hundred thirty-one million, eight hundred forty-seven thousand, forty".