441951314049 has 128 divisors (see below), whose sum is σ = 772395008000. Its totient is φ = 244552089600.

The previous prime is 441951314003. The next prime is 441951314059. The reversal of 441951314049 is 940413159144.

It is a happy number.

441951314049 is a `hidden beast` number, since 4 + 419 + 51 + 3 + 140 + 49 = 666.

It is not a de Polignac number, because 441951314049 - 2¹³ = 441951305857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 441951313995 and 441951314013.

It is not an unprimeable number, because it can be changed into a prime (441951314059) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 574708737 + ... + 574709505.

It is an arithmetic number, because the mean of its divisors is an integer number (6034336000).

Almost surely, 2^441951314049 is an apocalyptic number.

It is an amenable number.

441951314049 is a deficient number, since it is larger than the sum of its proper divisors (330443693951).

441951314049 is a wasteful number, since it uses less digits than its factorization.

441951314049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 441951314049 in words is "four hundred forty-one billion, nine hundred fifty-one million, three hundred fourteen thousand, forty-nine".