4211442400 has 72 divisors (see below), whose sum is σ = 11215860264. Its totient is φ = 1531430400.

The previous prime is 4211442377. The next prime is 4211442401. The reversal of 4211442400 is 42441124.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211442401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230487 + ... + 248086.

It is an arithmetic number, because the mean of its divisors is an integer number (155775837).

Almost surely, 2^4211442400 is an apocalyptic number.

4211442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4211442400 is an abundant number, since it is smaller than the sum of its proper divisors (7004417864).

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

4211442400 is a wasteful number, since it uses less digits than its factorization.

4211442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478604 (or 478591 counting only the distinct ones).

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

The square root of 4211442400 is about 64895.6269713145. The cubic root of 4211442400 is about 1614.8925155393.

Adding to 4211442400 its reverse (42441124), we get a palindrome (4253883524).

The spelling of 4211442400 in words is "four billion, two hundred eleven million, four hundred forty-two thousand, four hundred".