415534240100 has 144 divisors (see below), whose sum is σ = 1074204996480. Its totient is φ = 136505241600.

The previous prime is 415534240073. The next prime is 415534240109. The reversal of 415534240100 is 1042435514.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (415534240109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2581172 + ... + 2737428.

It is an arithmetic number, because the mean of its divisors is an integer number (7459756920).

Almost surely, 2^415534240100 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 415534240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537102498240).

415534240100 is an abundant number, since it is smaller than the sum of its proper divisors (658670756380).

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

415534240100 is a wasteful number, since it uses less digits than its factorization.

415534240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156438 (or 156431 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 415534240100 its reverse (1042435514), we get a palindrome (416576675614).

The spelling of 415534240100 in words is "four hundred fifteen billion, five hundred thirty-four million, two hundred forty thousand, one hundred".