433122252240000 has 640 divisors, whose sum is σ = 1455014640024000. Its totient is φ = 114105671680000.

The previous prime is 433122252239983. The next prime is 433122252240011. The reversal of 433122252240000 is 42252221334.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 433122252240000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27533032135 + ... + 27533047865.

Almost surely, 2^{433122252240000} is an apocalyptic number.

433122252240000 is a gapful number since it is divisible by the number (40) 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 433122252240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727507320012000).

433122252240000 is an abundant number, since it is smaller than the sum of its proper divisors (1021892387784000).

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

433122252240000 is a wasteful number, since it uses less digits than its factorization.

433122252240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17146 (or 17119 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 433122252240000 in words is "four hundred thirty-three trillion, one hundred twenty-two billion, two hundred fifty-two million, two hundred forty thousand".