433634781372 has 384 divisors, whose sum is σ = 1220861859840. Its totient is φ = 118536929280.

The previous prime is 433634781329. The next prime is 433634781373. The reversal of 433634781372 is 273187436334.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (433634781373) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 466775404 + ... + 466776332.

It is an arithmetic number, because the mean of its divisors is an integer number (3179327760).

Almost surely, 2^433634781372 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 433634781372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610430929920).

433634781372 is an abundant number, since it is smaller than the sum of its proper divisors (787227078468).

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

433634781372 is a wasteful number, since it uses less digits than its factorization.

433634781372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1139 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 51.

The spelling of 433634781372 in words is "four hundred thirty-three billion, six hundred thirty-four million, seven hundred eighty-one thousand, three hundred seventy-two".