4513409414976 has 1120 divisors, whose sum is σ = 15917615104000. Its totient is φ = 1126984320000.

The previous prime is 4513409414929. The next prime is 4513409414989. The reversal of 4513409414976 is 6794149043154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29890128501 + ... + 29890128651.

Almost surely, 2^{4513409414976} 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 4513409414976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7958807552000).

4513409414976 is an abundant number, since it is smaller than the sum of its proper divisors (11404205689024).

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

4513409414976 is an equidigital number, since it uses as much as digits as its factorization.

4513409414976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 4513409414976 in words is "four trillion, five hundred thirteen billion, four hundred nine million, four hundred fourteen thousand, nine hundred seventy-six".