507200394240 has 264 divisors, whose sum is σ = 1814132755968. Its totient is φ = 130890055680.

The previous prime is 507200394223. The next prime is 507200394247. The reversal of 507200394240 is 42493002705.

507200394240 is a `hidden beast` number, since 5 + 0 + 7 + 20 + 0 + 394 + 240 = 666.

It is a super-2 number, since 2×507200394240² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 507200394195 and 507200394204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507200394247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1250949 + ... + 1606011.

Almost surely, 2^507200394240 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 507200394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907066377984).

507200394240 is an abundant number, since it is smaller than the sum of its proper divisors (1306932361728).

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

507200394240 is a wasteful number, since it uses less digits than its factorization.

507200394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355125 (or 355104 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 507200394240 its reverse (42493002705), we get a palindrome (549693396945).

The spelling of 507200394240 in words is "five hundred seven billion, two hundred million, three hundred ninety-four thousand, two hundred forty".