414115110000000 has 768 divisors, whose sum is σ = 1492717370040000. Its totient is φ = 110197440000000.

The previous prime is 414115109999993. The next prime is 414115110000037. The reversal of 414115110000000 is 11511414.

414115110000000 is a `hidden beast` number, since 414 + 1 + 151 + 100 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44909995390 + ... + 44910004610.

Almost surely, 2^{414115110000000} is an apocalyptic number.

414115110000000 is a gapful number since it is divisible by the number (40) 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 414115110000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746358685020000).

414115110000000 is an abundant number, since it is smaller than the sum of its proper divisors (1078602260040000).

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

414115110000000 is an frugal number, since it uses more digits than its factorization.

414115110000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9775 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 414115110000000 its reverse (11511414), we get a palindrome (414115121511414).

The spelling of 414115110000000 in words is "four hundred fourteen trillion, one hundred fifteen billion, one hundred ten million", and thus it is an aban number.