4294945809000 has 2048 divisors, whose sum is σ = 19377841766400. Its totient is φ = 853960320000.

The previous prime is 4294945808977. The next prime is 4294945809001. The reversal of 4294945809000 is 9085494924.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4294945809001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6638246677 + ... + 6638247323.

It is an arithmetic number, because the mean of its divisors is an integer number (9461836800).

Almost surely, 2^{4294945809000} is an apocalyptic number.

4294945809000 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 4294945809000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9688920883200).

4294945809000 is an abundant number, since it is smaller than the sum of its proper divisors (15082895957400).

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

4294945809000 is a wasteful number, since it uses less digits than its factorization.

4294945809000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 4294945809000 in words is "four trillion, two hundred ninety-four billion, nine hundred forty-five million, eight hundred nine thousand".