401184541811520 has 448 divisors, whose sum is σ = 1436504480686080. Its totient is φ = 106703145400320.

The previous prime is 401184541811483. The next prime is 401184541811527. The reversal of 401184541811520 is 25118145481104.

401184541811520 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 8 + 4 + 5 + 41 + 81 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401184541811527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267290350 + ... + 268787090.

Almost surely, 2^{401184541811520} is an apocalyptic number.

401184541811520 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 401184541811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718252240343040).

401184541811520 is an abundant number, since it is smaller than the sum of its proper divisors (1035319938874560).

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

401184541811520 is an equidigital number, since it uses as much as digits as its factorization.

401184541811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497162 (or 1497134 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 401184541811520 in words is "four hundred one trillion, one hundred eighty-four billion, five hundred forty-one million, eight hundred eleven thousand, five hundred twenty".