401067503360 has 288 divisors, whose sum is σ = 1036563091200. Its totient is φ = 148140195840.

The previous prime is 401067503341. The next prime is 401067503383. The reversal of 401067503360 is 63305760104.

It is a super-2 number, since 2×401067503360² (a number of 24 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 401067503360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311145596 + ... + 311146884.

It is an arithmetic number, because the mean of its divisors is an integer number (3599177400).

Almost surely, 2^401067503360 is an apocalyptic number.

401067503360 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 401067503360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518281545600).

401067503360 is an abundant number, since it is smaller than the sum of its proper divisors (635495587840).

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

401067503360 is a wasteful number, since it uses less digits than its factorization.

401067503360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The spelling of 401067503360 in words is "four hundred one billion, sixty-seven million, five hundred three thousand, three hundred sixty".