401094144000 has 1248 divisors, whose sum is σ = 1624191162048. Its totient is φ = 94371840000.

The previous prime is 401094143993. The next prime is 401094144019. The reversal of 401094144000 is 441490104.

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, 2078207904 + ... + 2078208096.

It is an arithmetic number, because the mean of its divisors is an integer number (1301435226).

Almost surely, 2^401094144000 is an apocalyptic number.

401094144000 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 401094144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812095581024).

401094144000 is an abundant number, since it is smaller than the sum of its proper divisors (1223097018048).

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

401094144000 is a wasteful number, since it uses less digits than its factorization.

401094144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 401094144000 in words is "four hundred one billion, ninety-four million, one hundred forty-four thousand".