401261013552 has 320 divisors, whose sum is σ = 1264650485760. Its totient is φ = 107158520832.

The previous prime is 401261013539. The next prime is 401261013563. The reversal of 401261013552 is 255310162104.

It is a super-2 number, since 2×401261013552² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78877153 + ... + 78882239.

It is an arithmetic number, because the mean of its divisors is an integer number (3952032768).

Almost surely, 2^401261013552 is an apocalyptic number.

401261013552 is a gapful number since it is divisible by the number (42) 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 401261013552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632325242880).

401261013552 is an abundant number, since it is smaller than the sum of its proper divisors (863389472208).

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

401261013552 is a wasteful number, since it uses less digits than its factorization.

401261013552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 401261013552 its reverse (255310162104), we get a palindrome (656571175656).

The spelling of 401261013552 in words is "four hundred one billion, two hundred sixty-one million, thirteen thousand, five hundred fifty-two".