416332007720 has 32 divisors (see below), whose sum is σ = 977475150720. Its totient is φ = 159292246080.

The previous prime is 416332007719. The next prime is 416332007737. The reversal of 416332007720 is 27700233614.

It is a super-2 number, since 2×416332007720² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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, 226266476 + ... + 226268315.

It is an arithmetic number, because the mean of its divisors is an integer number (30546098460).

Almost surely, 2^416332007720 is an apocalyptic number.

416332007720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416332007720 is an abundant number, since it is smaller than the sum of its proper divisors (561143143000).

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

416332007720 is a wasteful number, since it uses less digits than its factorization.

416332007720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452534825 (or 452534821 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The spelling of 416332007720 in words is "four hundred sixteen billion, three hundred thirty-two million, seven thousand, seven hundred twenty".