401604106200 has 288 divisors, whose sum is σ = 1378919868480. Its totient is φ = 96613088000.

The previous prime is 401604106193. The next prime is 401604106217. The reversal of 401604106200 is 2601406104.

It is a super-2 number, since 2×401604106200² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9489487 + ... + 9531713.

It is an arithmetic number, because the mean of its divisors is an integer number (4787916210).

Almost surely, 2^401604106200 is an apocalyptic number.

401604106200 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 401604106200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689459934240).

401604106200 is an abundant number, since it is smaller than the sum of its proper divisors (977315762280).

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

401604106200 is a wasteful number, since it uses less digits than its factorization.

401604106200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42399 (or 42379 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The spelling of 401604106200 in words is "four hundred one billion, six hundred four million, one hundred six thousand, two hundred".