414020331240 has 32 divisors (see below), whose sum is σ = 1242060994080. Its totient is φ = 110405421632.

The previous prime is 414020331217. The next prime is 414020331247. The reversal of 414020331240 is 42133020414.

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 414020331240.

It is not an unprimeable number, because it can be changed into a prime (414020331247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1725084594 + ... + 1725084833.

It is an arithmetic number, because the mean of its divisors is an integer number (38814406065).

Almost surely, 2^414020331240 is an apocalyptic number.

414020331240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414020331240 is an abundant number, since it is smaller than the sum of its proper divisors (828040662840).

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

414020331240 is a wasteful number, since it uses less digits than its factorization.

414020331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450169441 (or 3450169437 counting only the distinct ones).

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

Adding to 414020331240 its reverse (42133020414), we get a palindrome (456153351654).

The spelling of 414020331240 in words is "four hundred fourteen billion, twenty million, three hundred thirty-one thousand, two hundred forty".