4245671845800 has 1728 divisors, whose sum is σ = 19079065736640. Its totient is φ = 867428352000.

The previous prime is 4245671845763. The next prime is 4245671845813. The reversal of 4245671845800 is 85481765424.

4245671845800 is a `hidden beast` number, since 4 + 2 + 4 + 56 + 7 + 1 + 8 + 4 + 580 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1597918072 + ... + 1597920728.

It is an arithmetic number, because the mean of its divisors is an integer number (11041126005).

Almost surely, 2^{4245671845800} is an apocalyptic number.

4245671845800 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 4245671845800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9539532868320).

4245671845800 is an abundant number, since it is smaller than the sum of its proper divisors (14833393890840).

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

4245671845800 is a wasteful number, since it uses less digits than its factorization.

4245671845800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 4245671845800 in words is "four trillion, two hundred forty-five billion, six hundred seventy-one million, eight hundred forty-five thousand, eight hundred".