414243402000 has 80 divisors (see below), whose sum is σ = 1335520747392. Its totient is φ = 110464905600.

The previous prime is 414243401987. The next prime is 414243402011. The reversal of 414243402000 is 204342414.

It is a happy number.

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

It is a super-2 number, since 2×414243402000² (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 15 ways as a sum of consecutive naturals, for example, 34514284 + ... + 34526283.

Almost surely, 2^414243402000 is an apocalyptic number.

414243402000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414243402000 is an abundant number, since it is smaller than the sum of its proper divisors (921277345392).

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

414243402000 is a wasteful number, since it uses less digits than its factorization.

414243402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69040593 (or 69040577 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 414243402000 its reverse (204342414), we get a palindrome (414447744414).

The spelling of 414243402000 in words is "four hundred fourteen billion, two hundred forty-three million, four hundred two thousand".