415040224500 has 216 divisors, whose sum is σ = 1439164728456. Its totient is φ = 100615680000.

The previous prime is 415040224499. The next prime is 415040224507. The reversal of 415040224500 is 5422040514.

415040224500 is a `hidden beast` number, since 4 + 15 + 0 + 402 + 245 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5099673744 + 409940550756 = 71412^2 + 640266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415040224507) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163380 + ... + 925620.

Almost surely, 2^415040224500 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 415040224500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719582364228).

415040224500 is an abundant number, since it is smaller than the sum of its proper divisors (1024124503956).

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

415040224500 is a wasteful number, since it uses less digits than its factorization.

415040224500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762288 (or 762262 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 415040224500 in words is "four hundred fifteen billion, forty million, two hundred twenty-four thousand, five hundred".