437316880027116 has 384 divisors, whose sum is σ = 1124850585600000. Its totient is φ = 131749032010752.

The previous prime is 437316880027073. The next prime is 437316880027121. The reversal of 437316880027116 is 611720088613734.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109630702450 + ... + 109630706438.

It is an arithmetic number, because the mean of its divisors is an integer number (2929298400000).

Almost surely, 2^{437316880027116} 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 437316880027116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562425292800000).

437316880027116 is an abundant number, since it is smaller than the sum of its proper divisors (687533705572884).

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

437316880027116 is a wasteful number, since it uses less digits than its factorization.

437316880027116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5227 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 437316880027116 in words is "four hundred thirty-seven trillion, three hundred sixteen billion, eight hundred eighty million, twenty-seven thousand, one hundred sixteen".