414040001200 has 60 divisors (see below), whose sum is σ = 1136835553840. Its totient is φ = 141956570880.

The previous prime is 414040001161. The next prime is 414040001231. The reversal of 414040001200 is 2100040414.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 73932915 + ... + 73938514.

Almost surely, 2^414040001200 is an apocalyptic number.

414040001200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414040001200 is an abundant number, since it is smaller than the sum of its proper divisors (722795552640).

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

414040001200 is a wasteful number, since it uses less digits than its factorization.

414040001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147871454 (or 147871443 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 414040001200 its reverse (2100040414), we get a palindrome (416140041614).

The spelling of 414040001200 in words is "four hundred fourteen billion, forty million, one thousand, two hundred".