401541000 has 128 divisors (see below), whose sum is σ = 1431855360. Its totient is φ = 91776000.

The previous prime is 401540999. The next prime is 401541001. The reversal of 401541000 is 145104.

It is an interprime number because it is at equal distance from previous prime (401540999) and next prime (401541001).

It is a super-2 number, since 2×401541000² = 322470349362000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (401541001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11440 + ... + 30560.

It is an arithmetic number, because the mean of its divisors is an integer number (11186370).

Almost surely, 2^401541000 is an apocalyptic number.

401541000 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 401541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715927680).

401541000 is an abundant number, since it is smaller than the sum of its proper divisors (1030314360).

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

401541000 is a wasteful number, since it uses less digits than its factorization.

401541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19152 (or 19138 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 401541000 is about 20038.4879669101. The cubic root of 401541000 is about 737.7512693564.

Adding to 401541000 its reverse (145104), we get a palindrome (401686104).

The spelling of 401541000 in words is "four hundred one million, five hundred forty-one thousand".