407033792064 has 105 divisors (see below), whose sum is σ = 1206711854161. Its totient is φ = 135662618880.

The previous prime is 407033792047. The next prime is 407033792069. The reversal of 407033792064 is 460297330704.

The square root of 407033792064 is 637992.

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

407033792064 is a `hidden beast` number, since 4 + 0 + 70 + 3 + 379 + 206 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 402453209664 + 4580582400 = 634392^2 + 67680^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407033792069) 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 14 ways as a sum of consecutive naturals, for example, 45930994 + ... + 45939854.

Almost surely, 2^407033792064 is an apocalyptic number.

407033792064 is the 637992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407033792064

407033792064 is an abundant number, since it is smaller than the sum of its proper divisors (799678062097).

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

407033792064 is an frugal number, since it uses more digits than its factorization.

407033792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17746 (or 8866 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 407033792064 in words is "four hundred seven billion, thirty-three million, seven hundred ninety-two thousand, sixty-four".