507448919040 has 704 divisors, whose sum is σ = 1949373886464. Its totient is φ = 110154350592.

The previous prime is 507448919027. The next prime is 507448919041. The reversal of 507448919040 is 40919844705.

It is not an unprimeable number, because it can be changed into a prime (507448919041) 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, 388254067 + ... + 388255373.

Almost surely, 2^507448919040 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 507448919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974686943232).

507448919040 is an abundant number, since it is smaller than the sum of its proper divisors (1441924967424).

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

507448919040 is a wasteful number, since it uses less digits than its factorization.

507448919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 507448919040 in words is "five hundred seven billion, four hundred forty-eight million, nine hundred nineteen thousand, forty".