404948249706 has 256 divisors, whose sum is σ = 1168022016000. Its totient is φ = 91979193600.

The previous prime is 404948249701. The next prime is 404948249723. The reversal of 404948249706 is 607942849404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (404948249701) 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, 5555376 + ... + 5627796.

It is an arithmetic number, because the mean of its divisors is an integer number (4562586000).

Almost surely, 2^404948249706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404948249706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584011008000).

404948249706 is an abundant number, since it is smaller than the sum of its proper divisors (763073766294).

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

404948249706 is a wasteful number, since it uses less digits than its factorization.

404948249706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72490 (or 72476 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 404948249706 in words is "four hundred four billion, nine hundred forty-eight million, two hundred forty-nine thousand, seven hundred six".