401311233341200 has 480 divisors, whose sum is σ = 1218047014001664. Its totient is φ = 123674984939520.

The previous prime is 401311233341141. The next prime is 401311233341201. The reversal of 401311233341200 is 2143332113104.

It is a super-2 number, since 2×401311233341200² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (401311233341201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336432232 + ... + 337622968.

Almost surely, 2^{401311233341200} is an apocalyptic number.

401311233341200 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 401311233341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609023507000832).

401311233341200 is an abundant number, since it is smaller than the sum of its proper divisors (816735780660464).

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

401311233341200 is a wasteful number, since it uses less digits than its factorization.

401311233341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191019 (or 1191008 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 401311233341200 its reverse (2143332113104), we get a palindrome (403454565454304).

The spelling of 401311233341200 in words is "four hundred one trillion, three hundred eleven billion, two hundred thirty-three million, three hundred forty-one thousand, two hundred".