4240400214100 has 72 divisors (see below), whose sum is σ = 9603551458368. Its totient is φ = 1622108083200.

The previous prime is 4240400214059. The next prime is 4240400214157. The reversal of 4240400214100 is 14120040424.

4240400214100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 12218980 + ... + 12561220.

It is an arithmetic number, because the mean of its divisors is an integer number (133382659144).

Almost surely, 2^{4240400214100} is an apocalyptic number.

It is an amenable number.

4240400214100 is an abundant number, since it is smaller than the sum of its proper divisors (5363151244268).

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

4240400214100 is a wasteful number, since it uses less digits than its factorization.

4240400214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347665 (or 347658 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 4240400214100 its reverse (14120040424), we get a palindrome (4254520254524).

The spelling of 4240400214100 in words is "four trillion, two hundred forty billion, four hundred million, two hundred fourteen thousand, one hundred".