404951450112 has 640 divisors, whose sum is σ = 1417165009920. Its totient is φ = 112777297920.

The previous prime is 404951450107. The next prime is 404951450149. The reversal of 404951450112 is 211054159404.

404951450112 is a `hidden beast` number, since 4 + 0 + 4 + 95 + 1 + 450 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111156963 + ... + 111160605.

It is an arithmetic number, because the mean of its divisors is an integer number (2214320328).

Almost surely, 2^404951450112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404951450112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708582504960).

404951450112 is an abundant number, since it is smaller than the sum of its proper divisors (1012213559808).

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

404951450112 is a wasteful number, since it uses less digits than its factorization.

404951450112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 404951450112 in words is "four hundred four billion, nine hundred fifty-one million, four hundred fifty thousand, one hundred twelve".