414000442000 has 80 divisors (see below), whose sum is σ = 1008935995392. Its totient is φ = 164296137600.

The previous prime is 414000441989. The next prime is 414000442003. The reversal of 414000442000 is 244000414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×414000442000⁴ (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (414000442003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 560962 + ... + 1068961.

Almost surely, 2^414000442000 is an apocalyptic number.

414000442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414000442000 is an abundant number, since it is smaller than the sum of its proper divisors (594935553392).

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

414000442000 is a wasteful number, since it uses less digits than its factorization.

414000442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630073 (or 1630057 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 414000442000 its reverse (244000414), we get a palindrome (414244442414).

The spelling of 414000442000 in words is "four hundred fourteen billion, four hundred forty-two thousand".