4909610574336 has 960 divisors, whose sum is σ = 15562369658880. Its totient is φ = 1369491701760.

The previous prime is 4909610574329. The next prime is 4909610574361. The reversal of 4909610574336 is 6334750169094.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24921880990 + ... + 24921881186.

It is an arithmetic number, because the mean of its divisors is an integer number (16210801728).

Almost surely, 2^{4909610574336} 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 4909610574336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781184829440).

4909610574336 is an abundant number, since it is smaller than the sum of its proper divisors (10652759084544).

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

4909610574336 is a wasteful number, since it uses less digits than its factorization.

4909610574336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 4909610574336 in words is "four trillion, nine hundred nine billion, six hundred ten million, five hundred seventy-four thousand, three hundred thirty-six".