4457829480000 has 560 divisors, whose sum is σ = 15935557989120. Its totient is φ = 1092943872000.

The previous prime is 4457829479927. The next prime is 4457829480029. The reversal of 4457829480000 is 849287544.

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, 400914441 + ... + 400925559.

It is an arithmetic number, because the mean of its divisors is an integer number (28456353552).

Almost surely, 2^{4457829480000} is an apocalyptic number.

4457829480000 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 4457829480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967778994560).

4457829480000 is an abundant number, since it is smaller than the sum of its proper divisors (11477728509120).

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

4457829480000 is a wasteful number, since it uses less digits than its factorization.

4457829480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11424 (or 11399 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 4457829480000 in words is "four trillion, four hundred fifty-seven billion, eight hundred twenty-nine million, four hundred eighty thousand".