449264408040 has 1024 divisors, whose sum is σ = 1917748224000. Its totient is φ = 91072512000.

The previous prime is 449264408011. The next prime is 449264408041. The reversal of 449264408040 is 40804462944.

449264408040 is a `hidden beast` number, since 4 + 4 + 92 + 6 + 440 + 80 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (449264408041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 612911514 + ... + 612912246.

It is an arithmetic number, because the mean of its divisors is an integer number (1872801000).

Almost surely, 2^449264408040 is an apocalyptic number.

449264408040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449264408040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958874112000).

449264408040 is an abundant number, since it is smaller than the sum of its proper divisors (1468483815960).

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

449264408040 is a wasteful number, since it uses less digits than its factorization.

449264408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 449264408040 in words is "four hundred forty-nine billion, two hundred sixty-four million, four hundred eight thousand, forty".