401166763776 has 576 divisors, whose sum is σ = 1286304243840. Its totient is φ = 124408037376.

The previous prime is 401166763771. The next prime is 401166763787. The reversal of 401166763776 is 677367661104.

401166763776 is a `hidden beast` number, since 40 + 1 + 166 + 76 + 377 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401166763771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1075513926 + ... + 1075514298.

It is an arithmetic number, because the mean of its divisors is an integer number (2233167090).

Almost surely, 2^401166763776 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 401166763776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643152121920).

401166763776 is an abundant number, since it is smaller than the sum of its proper divisors (885137480064).

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

401166763776 is an equidigital number, since it uses as much as digits as its factorization.

401166763776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 401166763776 in words is "four hundred one billion, one hundred sixty-six million, seven hundred sixty-three thousand, seven hundred seventy-six".