401641768528 has 480 divisors, whose sum is σ = 1133886926592. Its totient is φ = 133322342400.

The previous prime is 401641768519. The next prime is 401641768543. The reversal of 401641768528 is 825867146104.

It is a super-2 number, since 2×401641768528² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187594338 + ... + 187596478.

Almost surely, 2^401641768528 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 401641768528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566943463296).

401641768528 is an abundant number, since it is smaller than the sum of its proper divisors (732245158064).

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

401641768528 is a wasteful number, since it uses less digits than its factorization.

401641768528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 401641768528 in words is "four hundred one billion, six hundred forty-one million, seven hundred sixty-eight thousand, five hundred twenty-eight".