400242122100 has 144 divisors (see below), whose sum is σ = 1288384204800. Its totient is φ = 106591887360.

The previous prime is 400242122099. The next prime is 400242122113. The reversal of 400242122100 is 1221242004.

400242122100 is a `hidden beast` number, since 400 + 2 + 42 + 1 + 221 + 0 + 0 = 666.

It is a super-2 number, since 2×400242122100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1979917 + ... + 2172683.

Almost surely, 2^400242122100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400242122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644192102400).

400242122100 is an abundant number, since it is smaller than the sum of its proper divisors (888142082700).

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

400242122100 is a wasteful number, since it uses less digits than its factorization.

400242122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193559 (or 193546 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 400242122100 its reverse (1221242004), we get a palindrome (401463364104).

The spelling of 400242122100 in words is "four hundred billion, two hundred forty-two million, one hundred twenty-two thousand, one hundred".