436314330816 has 224 divisors, whose sum is σ = 1425855180288. Its totient is φ = 114663997440.

The previous prime is 436314330787. The next prime is 436314330871. The reversal of 436314330816 is 618033413634.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4900456 + ... + 4988696.

It is an arithmetic number, because the mean of its divisors is an integer number (6365424912).

Almost surely, 2^436314330816 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 436314330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712927590144).

436314330816 is an abundant number, since it is smaller than the sum of its proper divisors (989540849472).

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

436314330816 is a wasteful number, since it uses less digits than its factorization.

436314330816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88559 (or 88549 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 436314330816 in words is "four hundred thirty-six billion, three hundred fourteen million, three hundred thirty thousand, eight hundred sixteen".