401841000 has 480 divisors, whose sum is σ = 1581620040. Its totient is φ = 95040000.

The previous prime is 401840993. The next prime is 401841017. The reversal of 401841000 is 148104.

It can be written as a sum of positive squares in 4 ways, for example, as 32970564 + 368870436 = 5742^2 + 19206^2 .

It is a super-2 number, since 2×401841000² = 322952378562000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9800980 + ... + 9801020.

Almost surely, 2^401841000 is an apocalyptic number.

401841000 is a gapful number since it is divisible by the number (40) 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 401841000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790810020).

401841000 is an abundant number, since it is smaller than the sum of its proper divisors (1179779040).

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

401841000 is a wasteful number, since it uses less digits than its factorization.

401841000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 401841000 is about 20045.9721640034. The cubic root of 401841000 is about 737.9349536167.

Adding to 401841000 its reverse (148104), we get a palindrome (401989104).

The spelling of 401841000 in words is "four hundred one million, eight hundred forty-one thousand".