504132114432240 has 240 divisors, whose sum is σ = 2048725130931648. Its totient is φ = 108451950649344.

The previous prime is 504132114432229. The next prime is 504132114432251. The reversal of 504132114432240 is 42234411231405.

504132114432240 is a `hidden beast` number, since 5 + 0 + 4 + 1 + 3 + 211 + 4 + 432 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (504132114432229) and next prime (504132114432251).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×504132114432240² (a number of 30 digits) contains 22 as substring.

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 = 504132114432195 and 504132114432204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2941861767 + ... + 2942033126.

Almost surely, 2^{504132114432240} is an apocalyptic number.

It is an amenable number.

504132114432240 is an abundant number, since it is smaller than the sum of its proper divisors (1544593016499408).

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

504132114432240 is a wasteful number, since it uses less digits than its factorization.

504132114432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5883894936 (or 5883894927 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 504132114432240 its reverse (42234411231405), we get a palindrome (546366525663645).

The spelling of 504132114432240 in words is "five hundred four trillion, one hundred thirty-two billion, one hundred fourteen million, four hundred thirty-two thousand, two hundred forty".