4253142510400 has 84 divisors (see below), whose sum is σ = 11960444362528. Its totient is φ = 1458220285440.

The previous prime is 4253142510389. The next prime is 4253142510403. The reversal of 4253142510400 is 40152413524.

It is a super-2 number, since 2×4253142510400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253142510403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189861234 + ... + 189883633.

Almost surely, 2^{4253142510400} is an apocalyptic number.

4253142510400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4253142510400 is an abundant number, since it is smaller than the sum of its proper divisors (7707301852128).

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

4253142510400 is a wasteful number, since it uses less digits than its factorization.

4253142510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379744896 (or 379744881 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 4253142510400 its reverse (40152413524), we get a palindrome (4293294923924).

The spelling of 4253142510400 in words is "four trillion, two hundred fifty-three billion, one hundred forty-two million, five hundred ten thousand, four hundred".