401411302400000 has 336 divisors, whose sum is σ = 1004786994516480. Its totient is φ = 160343040000000.

The previous prime is 401411302399949. The next prime is 401411302400011. The reversal of 401411302400000 is 4203114104.

It is a super-2 number, since 2×401411302400000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19225589561 + ... + 19225610439.

It is an arithmetic number, because the mean of its divisors is an integer number (2990437483680).

Almost surely, 2^{401411302400000} is an apocalyptic number.

401411302400000 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 401411302400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502393497258240).

401411302400000 is an abundant number, since it is smaller than the sum of its proper divisors (603375692116480).

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

401411302400000 is an frugal number, since it uses more digits than its factorization.

401411302400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21681 (or 21637 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 401411302400000 its reverse (4203114104), we get a palindrome (401415505514104).

The spelling of 401411302400000 in words is "four hundred one trillion, four hundred eleven billion, three hundred two million, four hundred thousand".