4233142010400 has 72 divisors (see below), whose sum is σ = 13778877251664. Its totient is φ = 1128837868800.

The previous prime is 4233142010393. The next prime is 4233142010431. The reversal of 4233142010400 is 40102413324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 881902186 + ... + 881906985.

It is an arithmetic number, because the mean of its divisors is an integer number (191373295162).

Almost surely, 2^{4233142010400} is an apocalyptic number.

4233142010400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4233142010400 is an abundant number, since it is smaller than the sum of its proper divisors (9545735241264).

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

4233142010400 is a wasteful number, since it uses less digits than its factorization.

4233142010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763809194 (or 1763809181 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 4233142010400 its reverse (40102413324), we get a palindrome (4273244423724).

The spelling of 4233142010400 in words is "four trillion, two hundred thirty-three billion, one hundred forty-two million, ten thousand, four hundred".