418414922500 has 135 divisors (see below), whose sum is σ = 973257650827. Its totient is φ = 157313920000.

The previous prime is 418414922479. The next prime is 418414922501. The reversal of 418414922500 is 5229414814.

The square root of 418414922500 is 646850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 235463680516 + 182951241984 = 485246^2 + 427728^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (418414922501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 549822120 + ... + 549822880.

Almost surely, 2^418414922500 is an apocalyptic number.

418414922500 is the 646850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418414922500

418414922500 is an abundant number, since it is smaller than the sum of its proper divisors (554842728327).

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

418414922500 is an frugal number, since it uses more digits than its factorization.

418414922500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 418414922500 in words is "four hundred eighteen billion, four hundred fourteen million, nine hundred twenty-two thousand, five hundred".