401444552350224 has 40 divisors (see below), whose sum is σ = 1152294548413920. Its totient is φ = 133814850783264.

The previous prime is 401444552350217. The next prime is 401444552350229. The reversal of 401444552350224 is 422053255444104.

401444552350224 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 44 + 552 + 3 + 50 + 2 + 2 + 4 = 666.

It is a super-2 number, since 2×401444552350224² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401444552350224.

It is not an unprimeable number, because it can be changed into a prime (401444552350229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464634898122 + ... + 464634898985.

It is an arithmetic number, because the mean of its divisors is an integer number (28807363710348).

Almost surely, 2^{401444552350224} is an apocalyptic number.

It is an amenable number.

401444552350224 is an abundant number, since it is smaller than the sum of its proper divisors (750849996063696).

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

401444552350224 is a wasteful number, since it uses less digits than its factorization.

401444552350224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929269797124 (or 929269797112 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

The spelling of 401444552350224 in words is "four hundred one trillion, four hundred forty-four billion, five hundred fifty-two million, three hundred fifty thousand, two hundred twenty-four".