401544000000 has 1680 divisors, whose sum is σ = 1755061909920. Its totient is φ = 89856000000.

The previous prime is 401543999959. The next prime is 401544000023. The reversal of 401544000000 is 445104.

It is a super-2 number, since 2×401544000000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 167 ways as a sum of consecutive naturals, for example, 30887999994 + ... + 30888000006.

Almost surely, 2^401544000000 is an apocalyptic number.

401544000000 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 401544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877530954960).

401544000000 is an abundant number, since it is smaller than the sum of its proper divisors (1353517909920).

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

401544000000 is an frugal number, since it uses more digits than its factorization.

401544000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 401544000000 its reverse (445104), we get a palindrome (401544445104).

The spelling of 401544000000 in words is "four hundred one billion, five hundred forty-four million", and thus it is an aban number.