414042414000 has 160 divisors (see below), whose sum is σ = 1405129589760. Its totient is φ = 104600160000.

The previous prime is 414042413999. The next prime is 414042414011. The reversal of 414042414000 is 414240414.

It is a happy number.

It is a super-2 number, since 2×414042414000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1701976 + ... + 1929975.

It is an arithmetic number, because the mean of its divisors is an integer number (8782059936).

Almost surely, 2^414042414000 is an apocalyptic number.

414042414000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414042414000 is an abundant number, since it is smaller than the sum of its proper divisors (991087175760).

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

414042414000 is a wasteful number, since it uses less digits than its factorization.

414042414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631996 (or 3631980 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 414042414000 its reverse (414240414), we get a palindrome (414456654414).

The spelling of 414042414000 in words is "four hundred fourteen billion, forty-two million, four hundred fourteen thousand".