4759717309440 has 176 divisors, whose sum is σ = 15407080028928. Its totient is φ = 1253965348864.

The previous prime is 4759717309433. The next prime is 4759717309469. The reversal of 4759717309440 is 449037179574.

It is a happy number.

It is a super-2 number, since 2×4759717309440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591852 + ... + 3141611.

Almost surely, 2^{4759717309440} is an apocalyptic number.

4759717309440 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 4759717309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7703540014464).

4759717309440 is an abundant number, since it is smaller than the sum of its proper divisors (10647362719488).

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

4759717309440 is a wasteful number, since it uses less digits than its factorization.

4759717309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733574 (or 3733556 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 60.

The spelling of 4759717309440 in words is "four trillion, seven hundred fifty-nine billion, seven hundred seventeen million, three hundred nine thousand, four hundred forty".