401918811840 has 896 divisors, whose sum is σ = 1766907555840. Its totient is φ = 84787015680.

The previous prime is 401918811829. The next prime is 401918811887. The reversal of 401918811840 is 48118819104.

401918811840 is a `hidden beast` number, since 401 + 91 + 8 + 8 + 118 + 40 = 666.

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

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 63682285 + ... + 63688595.

It is an arithmetic number, because the mean of its divisors is an integer number (1971995040).

Almost surely, 2^401918811840 is an apocalyptic number.

401918811840 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 401918811840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883453777920).

401918811840 is an abundant number, since it is smaller than the sum of its proper divisors (1364988744000).

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

401918811840 is an equidigital number, since it uses as much as digits as its factorization.

401918811840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 401918811840 in words is "four hundred one billion, nine hundred eighteen million, eight hundred eleven thousand, eight hundred forty".