401445790200 has 2304 divisors, whose sum is σ = 1879479705600. Its totient is φ = 76590489600.

The previous prime is 401445790183. The next prime is 401445790237. The reversal of 401445790200 is 2097544104.

It is a happy number.

401445790200 is a `hidden beast` number, since 4 + 0 + 1 + 445 + 7 + 9 + 0 + 200 = 666.

It is a super-2 number, since 2×401445790200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5499257364 + ... + 5499257436.

It is an arithmetic number, because the mean of its divisors is an integer number (815746400).

Almost surely, 2^401445790200 is an apocalyptic number.

401445790200 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 401445790200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939739852800).

401445790200 is an abundant number, since it is smaller than the sum of its proper divisors (1478033915400).

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

401445790200 is a wasteful number, since it uses less digits than its factorization.

401445790200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 401445790200 in words is "four hundred one billion, four hundred forty-five million, seven hundred ninety thousand, two hundred".