433057042400664 has 128 divisors (see below), whose sum is σ = 1194357688876800. Its totient is φ = 129752459612160.

The previous prime is 433057042400663. The next prime is 433057042400669. The reversal of 433057042400664 is 466004240750334.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433057042400663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1521529152 + ... + 1521813744.

It is an arithmetic number, because the mean of its divisors is an integer number (9330919444350).

Almost surely, 2^{433057042400664} is an apocalyptic number.

433057042400664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433057042400664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597178844438400).

433057042400664 is an abundant number, since it is smaller than the sum of its proper divisors (761300646476136).

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

433057042400664 is a wasteful number, since it uses less digits than its factorization.

433057042400664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349465 (or 349461 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 48.

The spelling of 433057042400664 in words is "four hundred thirty-three trillion, fifty-seven billion, forty-two million, four hundred thousand, six hundred sixty-four".