4157864000640 has 1536 divisors, whose sum is σ = 17951027328000. Its totient is φ = 884121993216.

The previous prime is 4157864000569. The next prime is 4157864000651. The reversal of 4157864000640 is 460004687514.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1681302444 + ... + 1681304916.

It is an arithmetic number, because the mean of its divisors is an integer number (11686866750).

Almost surely, 2^{4157864000640} is an apocalyptic number.

4157864000640 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 4157864000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975513664000).

4157864000640 is an abundant number, since it is smaller than the sum of its proper divisors (13793163327360).

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

4157864000640 is a wasteful number, since it uses less digits than its factorization.

4157864000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4157864000640 in words is "four trillion, one hundred fifty-seven billion, eight hundred sixty-four million, six hundred forty", and thus it is an aban number.