400414002100 has 72 divisors (see below), whose sum is σ = 996802950528. Its totient is φ = 136762742400.

The previous prime is 400414002089. The next prime is 400414002113. The reversal of 400414002100 is 1200414004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 903391 + ... + 1271590.

It is an arithmetic number, because the mean of its divisors is an integer number (13844485424).

Almost surely, 2^400414002100 is an apocalyptic number.

It is an amenable number.

400414002100 is an abundant number, since it is smaller than the sum of its proper divisors (596388948428).

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

400414002100 is a wasteful number, since it uses less digits than its factorization.

400414002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175265 (or 2175258 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 400414002100 its reverse (1200414004), we get a palindrome (401614416104).

The spelling of 400414002100 in words is "four hundred billion, four hundred fourteen million, two thousand, one hundred".