401689816200 has 192 divisors, whose sum is σ = 1390625280000. Its totient is φ = 106573259520.

The previous prime is 401689816109. The next prime is 401689816207. The reversal of 401689816200 is 2618986104.

401689816200 is a `hidden beast` number, since 4 + 0 + 16 + 8 + 9 + 8 + 1 + 620 + 0 = 666.

It is a super-2 number, since 2×401689816200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (401689816207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 875001 + ... + 1252599.

It is an arithmetic number, because the mean of its divisors is an integer number (7242840000).

Almost surely, 2^401689816200 is an apocalyptic number.

401689816200 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 401689816200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695312640000).

401689816200 is an abundant number, since it is smaller than the sum of its proper divisors (988935463800).

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

401689816200 is a wasteful number, since it uses less digits than its factorization.

401689816200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377821 (or 377806 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 401689816200 in words is "four hundred one billion, six hundred eighty-nine million, eight hundred sixteen thousand, two hundred".