401042054313300 has 288 divisors, whose sum is σ = 1245034164713472. Its totient is φ = 99409073195520.

The previous prime is 401042054313293. The next prime is 401042054313319. The reversal of 401042054313300 is 3313450240104.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209157547 + ... + 211066253.

It is an arithmetic number, because the mean of its divisors is an integer number (4323035294144).

Almost surely, 2^{401042054313300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401042054313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622517082356736).

401042054313300 is an abundant number, since it is smaller than the sum of its proper divisors (843992110400172).

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

401042054313300 is a wasteful number, since it uses less digits than its factorization.

401042054313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909607 (or 1909600 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 401042054313300 in words is "four hundred one trillion, forty-two billion, fifty-four million, three hundred thirteen thousand, three hundred".