401143120000 has 320 divisors, whose sum is σ = 1165639875840. Its totient is φ = 134599680000.

The previous prime is 401143119941. The next prime is 401143120003. The reversal of 401143120000 is 21341104.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (401143120003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26312380 + ... + 26327620.

It is an arithmetic number, because the mean of its divisors is an integer number (3642624612).

Almost surely, 2^401143120000 is an apocalyptic number.

401143120000 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 401143120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582819937920).

401143120000 is an abundant number, since it is smaller than the sum of its proper divisors (764496755840).

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

401143120000 is an equidigital number, since it uses as much as digits as its factorization.

401143120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15329 (or 15302 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 401143120000 its reverse (21341104), we get a palindrome (401164461104).

The spelling of 401143120000 in words is "four hundred one billion, one hundred forty-three million, one hundred twenty thousand".