401761179456 has 448 divisors, whose sum is σ = 1343655936000. Its totient is φ = 105272358912.

The previous prime is 401761179433. The next prime is 401761179461. The reversal of 401761179456 is 654971167104.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×401761179456² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401761179399 and 401761179408.

It is a congruent number.

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, 139547425 + ... + 139550303.

It is an arithmetic number, because the mean of its divisors is an integer number (2999232000).

Almost surely, 2^401761179456 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 401761179456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671827968000).

401761179456 is an abundant number, since it is smaller than the sum of its proper divisors (941894756544).

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

401761179456 is a wasteful number, since it uses less digits than its factorization.

401761179456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 401761179456 in words is "four hundred one billion, seven hundred sixty-one million, one hundred seventy-nine thousand, four hundred fifty-six".