4971465240000 has 560 divisors, whose sum is σ = 18996294240000. Its totient is φ = 1123550208000.

The previous prime is 4971465239987. The next prime is 4971465240017. The reversal of 4971465240000 is 425641794.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74726751 + ... + 74793249.

It is an arithmetic number, because the mean of its divisors is an integer number (33921954000).

Almost surely, 2^{4971465240000} is an apocalyptic number.

4971465240000 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 4971465240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9498147120000).

4971465240000 is an abundant number, since it is smaller than the sum of its proper divisors (14024829000000).

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

4971465240000 is an equidigital number, since it uses as much as digits as its factorization.

4971465240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66630 (or 66605 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 4971465240000 in words is "four trillion, nine hundred seventy-one billion, four hundred sixty-five million, two hundred forty thousand".