4242971460 has 432 divisors, whose sum is σ = 15505305984. Its totient is φ = 848719872.

The previous prime is 4242971459. The next prime is 4242971471. The reversal of 4242971460 is 641792424.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37548364 + ... + 37548476.

It is an arithmetic number, because the mean of its divisors is an integer number (35891912).

Almost surely, 2^4242971460 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 4242971460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752652992).

4242971460 is an abundant number, since it is smaller than the sum of its proper divisors (11262334524).

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

4242971460 is a wasteful number, since it uses less digits than its factorization.

4242971460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4242971460 is about 65138.0953052820. The cubic root of 4242971460 is about 1618.9124769259.

The spelling of 4242971460 in words is "four billion, two hundred forty-two million, nine hundred seventy-one thousand, four hundred sixty".