401142233156640 has 384 divisors, whose sum is σ = 1304119322634240. Its totient is φ = 103597085491200.

The previous prime is 401142233156603. The next prime is 401142233156657. The reversal of 401142233156640 is 46651332241104.

It is a super-2 number, since 2×401142233156640² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401142233156592 and 401142233156601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2627934720 + ... + 2628087360.

It is an arithmetic number, because the mean of its divisors is an integer number (3396144069360).

Almost surely, 2^{401142233156640} is an apocalyptic number.

401142233156640 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 401142233156640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652059661317120).

401142233156640 is an abundant number, since it is smaller than the sum of its proper divisors (902977089477600).

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

401142233156640 is a wasteful number, since it uses less digits than its factorization.

401142233156640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154096 (or 154088 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 401142233156640 its reverse (46651332241104), we get a palindrome (447793565397744).

The spelling of 401142233156640 in words is "four hundred one trillion, one hundred forty-two billion, two hundred thirty-three million, one hundred fifty-six thousand, six hundred forty".