407942799616 has 243 divisors, whose sum is σ = 949607104719. Its totient is φ = 174749414400.

The previous prime is 407942799611. The next prime is 407942799773. The reversal of 407942799616 is 616997249704.

The square root of 407942799616 is 638704.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (407942799611) 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 26 ways as a sum of consecutive naturals, for example, 2135826081 + ... + 2135826271.

Almost surely, 2^407942799616 is an apocalyptic number.

407942799616 is the 638704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407942799616

407942799616 is an abundant number, since it is smaller than the sum of its proper divisors (541664305103).

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

407942799616 is an equidigital number, since it uses as much as digits as its factorization.

407942799616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 64.

Multiplying 407942799616 by its sum of digits (64), we get a square (26108339175424 = 5109632²).

407942799616 divided by its sum of digits (64) gives a square (6374106244 = 79838²).

The spelling of 407942799616 in words is "four hundred seven billion, nine hundred forty-two million, seven hundred ninety-nine thousand, six hundred sixteen".