414302312040 has 64 divisors (see below), whose sum is σ = 1273221754560. Its totient is φ = 107785966080.

The previous prime is 414302312033. The next prime is 414302312051. The reversal of 414302312040 is 40213203414.

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

It is a self number, because there is not a number n which added to its sum of digits gives 414302312040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42098974 + ... + 42108813.

It is an arithmetic number, because the mean of its divisors is an integer number (19894089915).

Almost surely, 2^414302312040 is an apocalyptic number.

414302312040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414302312040 is an abundant number, since it is smaller than the sum of its proper divisors (858919442520).

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

414302312040 is a wasteful number, since it uses less digits than its factorization.

414302312040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84207842 (or 84207838 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 414302312040 its reverse (40213203414), we get a palindrome (454515515454).

The spelling of 414302312040 in words is "four hundred fourteen billion, three hundred two million, three hundred twelve thousand, forty".