4162134850560 has 1056 divisors, whose sum is σ = 15168586777344. Its totient is φ = 1054310400000.

The previous prime is 4162134850541. The next prime is 4162134850603. The reversal of 4162134850560 is 650584312614.

4162134850560 is a `hidden beast` number, since 4 + 1 + 6 + 2 + 1 + 3 + 4 + 85 + 0 + 560 = 666.

It is a super-2 number, since 2×4162134850560² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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, 16582210435 + ... + 16582210685.

It is an arithmetic number, because the mean of its divisors is an integer number (14364192024).

Almost surely, 2^{4162134850560} is an apocalyptic number.

4162134850560 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 4162134850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7584293388672).

4162134850560 is an abundant number, since it is smaller than the sum of its proper divisors (11006451926784).

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

4162134850560 is a wasteful number, since it uses less digits than its factorization.

4162134850560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 4162134850560 in words is "four trillion, one hundred sixty-two billion, one hundred thirty-four million, eight hundred fifty thousand, five hundred sixty".