401133444411040 has 192 divisors, whose sum is σ = 1040133199714560. Its totient is φ = 144977595965440.

The previous prime is 401133444411013. The next prime is 401133444411097. The reversal of 401133444411040 is 40114444331104.

It is a junction number, because it is equal to n+sod(n) for n = 401133444410987 and 401133444411005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2918262954 + ... + 2918400406.

It is an arithmetic number, because the mean of its divisors is an integer number (5417360415180).

Almost surely, 2^{401133444411040} is an apocalyptic number.

401133444411040 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 401133444411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520066599857280).

401133444411040 is an abundant number, since it is smaller than the sum of its proper divisors (638999755303520).

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

401133444411040 is a wasteful number, since it uses less digits than its factorization.

401133444411040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147575 (or 147567 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 401133444411040 its reverse (40114444331104), we get a palindrome (441247888742144).

The spelling of 401133444411040 in words is "four hundred one trillion, one hundred thirty-three billion, four hundred forty-four million, four hundred eleven thousand, forty".