4233141200400 has 120 divisors (see below), whose sum is σ = 15497328387264. Its totient is φ = 967575129600.

The previous prime is 4233141200371. The next prime is 4233141200429. The reversal of 4233141200400 is 40021413324.

It is an interprime number because it is at equal distance from previous prime (4233141200371) and next prime (4233141200429).

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 251964291 + ... + 251981090.

Almost surely, 2^{4233141200400} is an apocalyptic number.

4233141200400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4233141200400 is an abundant number, since it is smaller than the sum of its proper divisors (11264187186864).

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

4233141200400 is a wasteful number, since it uses less digits than its factorization.

4233141200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503945409 (or 503945398 counting only the distinct ones).

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

Adding to 4233141200400 its reverse (40021413324), we get a palindrome (4273162613724).

The spelling of 4233141200400 in words is "four trillion, two hundred thirty-three billion, one hundred forty-one million, two hundred thousand, four hundred".