401361113664 has 336 divisors, whose sum is σ = 1374842462400. Its totient is φ = 114484672512.

The previous prime is 401361113639. The next prime is 401361113689. The reversal of 401361113664 is 466311163104.

401361113664 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 611 + 1 + 36 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (401361113639) and next prime (401361113689).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×401361113664² (a number of 24 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 55795252 + ... + 55802444.

Almost surely, 2^401361113664 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 401361113664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687421231200).

401361113664 is an abundant number, since it is smaller than the sum of its proper divisors (973481348736).

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

401361113664 is a wasteful number, since it uses less digits than its factorization.

401361113664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7887 (or 7864 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 401361113664 its reverse (466311163104), we get a palindrome (867672276768).

The spelling of 401361113664 in words is "four hundred one billion, three hundred sixty-one million, one hundred thirteen thousand, six hundred sixty-four".