401100429600 has 648 divisors, whose sum is σ = 1543333025052. Its totient is φ = 97442611200.

The previous prime is 401100429557. The next prime is 401100429607. The reversal of 401100429600 is 6924001104.

401100429600 is a `hidden beast` number, since 4 + 0 + 1 + 10 + 0 + 42 + 9 + 600 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 174680530704 + 226419898896 = 417948^2 + 475836^2 .

It is not an unprimeable number, because it can be changed into a prime (401100429607) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 741405330 + ... + 741405870.

Almost surely, 2^401100429600 is an apocalyptic number.

401100429600 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 401100429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771666512526).

401100429600 is an abundant number, since it is smaller than the sum of its proper divisors (1142232595452).

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

401100429600 is a wasteful number, since it uses less digits than its factorization.

401100429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 401100429600 in words is "four hundred one billion, one hundred million, four hundred twenty-nine thousand, six hundred".