100414511340 has 192 divisors, whose sum is σ = 331365565440. Its totient is φ = 22398888960.

The previous prime is 100414511321. The next prime is 100414511363. The reversal of 100414511340 is 43115414001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100414511340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2701401 + ... + 2738319.

It is an arithmetic number, because the mean of its divisors is an integer number (1725862320).

Almost surely, 2^100414511340 is an apocalyptic number.

100414511340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100414511340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165682782720).

100414511340 is an abundant number, since it is smaller than the sum of its proper divisors (230951054100).

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

100414511340 is a wasteful number, since it uses less digits than its factorization.

100414511340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37272 (or 37270 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 100414511340 its reverse (43115414001), we get a palindrome (143529925341).

The spelling of 100414511340 in words is "one hundred billion, four hundred fourteen million, five hundred eleven thousand, three hundred forty".