401241523200 has 528 divisors, whose sum is σ = 1519191039360. Its totient is φ = 91493498880.

The previous prime is 401241523153. The next prime is 401241523247. The reversal of 401241523200 is 2325142104.

It is an interprime number because it is at equal distance from previous prime (401241523153) and next prime (401241523247).

It is a super-2 number, since 2×401241523200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 361804246 + ... + 361805354.

Almost surely, 2^401241523200 is an apocalyptic number.

401241523200 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 401241523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759595519680).

401241523200 is an abundant number, since it is smaller than the sum of its proper divisors (1117949516160).

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

401241523200 is a wasteful number, since it uses less digits than its factorization.

401241523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 401241523200 its reverse (2325142104), we get a palindrome (403566665304).

The spelling of 401241523200 in words is "four hundred one billion, two hundred forty-one million, five hundred twenty-three thousand, two hundred".