4212140142400 has 84 divisors (see below), whose sum is σ = 10364990844780. Its totient is φ = 1684775833600.

The previous prime is 4212140142383. The next prime is 4212140142443. The reversal of 4212140142400 is 42410412124.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2371624640064 + 1840515502336 = 1540008^2 + 1356656^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 42640266 + ... + 42738934.

Almost surely, 2^{4212140142400} is an apocalyptic number.

4212140142400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212140142400 is an abundant number, since it is smaller than the sum of its proper divisors (6152850702380).

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

4212140142400 is a wasteful number, since it uses less digits than its factorization.

4212140142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125372 (or 125357 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 4212140142400 its reverse (42410412124), we get a palindrome (4254550554524).

The spelling of 4212140142400 in words is "four trillion, two hundred twelve billion, one hundred forty million, one hundred forty-two thousand, four hundred".