415414501000 has 64 divisors (see below), whose sum is σ = 995779053360. Its totient is φ = 162112960000.

The previous prime is 415414500997. The next prime is 415414501001. The reversal of 415414501000 is 105414514.

It can be written as a sum of positive squares in 8 ways, for example, as 17901904804 + 397512596196 = 133798^2 + 630486^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (415414501001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5025031 + ... + 5107030.

Almost surely, 2^415414501000 is an apocalyptic number.

415414501000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415414501000 is an abundant number, since it is smaller than the sum of its proper divisors (580364552360).

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

415414501000 is a wasteful number, since it uses less digits than its factorization.

415414501000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10132123 (or 10132109 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 415414501000 its reverse (105414514), we get a palindrome (415519915514).

The spelling of 415414501000 in words is "four hundred fifteen billion, four hundred fourteen million, five hundred one thousand".