4713486217440 has 768 divisors, whose sum is σ = 19973030160384. Its totient is φ = 902364364800.

The previous prime is 4713486217409. The next prime is 4713486217457. The reversal of 4713486217440 is 447126843174.

It is a congruent number.

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, 259930614 + ... + 259948746.

It is an arithmetic number, because the mean of its divisors is an integer number (26006549688).

Almost surely, 2^{4713486217440} is an apocalyptic number.

4713486217440 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 4713486217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986515080192).

4713486217440 is an abundant number, since it is smaller than the sum of its proper divisors (15259543942944).

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

4713486217440 is a wasteful number, since it uses less digits than its factorization.

4713486217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18723 (or 18715 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 4713486217440 in words is "four trillion, seven hundred thirteen billion, four hundred eighty-six million, two hundred seventeen thousand, four hundred forty".