414013214440000 has 140 divisors (see below), whose sum is σ = 1173277963669504. Its totient is φ = 141947387712000.

The previous prime is 414013214439949. The next prime is 414013214440003. The reversal of 414013214440000 is 44412310414.

It is a tau number, because it is divible by the number of its divisors (140).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (414013214440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 739029312 + ... + 739589311.

Almost surely, 2^{414013214440000} is an apocalyptic number.

414013214440000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414013214440000 is an abundant number, since it is smaller than the sum of its proper divisors (759264749229504).

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

414013214440000 is an equidigital number, since it uses as much as digits as its factorization.

414013214440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478618662 (or 1478618637 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 414013214440000 its reverse (44412310414), we get a palindrome (414057626750414).

The spelling of 414013214440000 in words is "four hundred fourteen trillion, thirteen billion, two hundred fourteen million, four hundred forty thousand".