414133100000 has 72 divisors (see below), whose sum is σ = 1019090695896. Its totient is φ = 165653200000.

The previous prime is 414133099999. The next prime is 414133100041. The reversal of 414133100000 is 1331414.

It is a super-2 number, since 2×414133100000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1970666 + ... + 2170665.

It is an arithmetic number, because the mean of its divisors is an integer number (14154037443).

Almost surely, 2^414133100000 is an apocalyptic number.

414133100000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414133100000 is an abundant number, since it is smaller than the sum of its proper divisors (604957595896).

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

414133100000 is an frugal number, since it uses more digits than its factorization.

414133100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141366 (or 4141338 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 414133100000 its reverse (1331414), we get a palindrome (414134431414).

It can be divided in two parts, 41413 and 3100000, that added together give a palindrome (3141413).

The spelling of 414133100000 in words is "four hundred fourteen billion, one hundred thirty-three million, one hundred thousand".