10211214044400 has 60 divisors (see below), whose sum is σ = 32709922326072. Its totient is φ = 2722990411520.

The previous prime is 10211214044387. The next prime is 10211214044431. The reversal of 10211214044400 is 444041211201.

10211214044400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 4254671319 + ... + 4254673718.

Almost surely, 2^{10211214044400} is an apocalyptic number.

10211214044400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211214044400 is an abundant number, since it is smaller than the sum of its proper divisors (22498708281672).

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

10211214044400 is a wasteful number, since it uses less digits than its factorization.

10211214044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509345058 (or 8509345047 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10211214044400 its reverse (444041211201), we get a palindrome (10655255255601).

The spelling of 10211214044400 in words is "ten trillion, two hundred eleven billion, two hundred fourteen million, forty-four thousand, four hundred".