435434380416 has 768 divisors, whose sum is σ = 1532440166400. Its totient is φ = 116045291520.

The previous prime is 435434380399. The next prime is 435434380439. The reversal of 435434380416 is 614083434534.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1655643901 + ... + 1655644163.

It is an arithmetic number, because the mean of its divisors is an integer number (1995364800).

Almost surely, 2^435434380416 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 435434380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766220083200).

435434380416 is an abundant number, since it is smaller than the sum of its proper divisors (1097005785984).

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

435434380416 is a wasteful number, since it uses less digits than its factorization.

435434380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 435434380416 in words is "four hundred thirty-five billion, four hundred thirty-four million, three hundred eighty thousand, four hundred sixteen".