4127074522560 has 672 divisors, whose sum is σ = 16181237030400. Its totient is φ = 955698585600.

The previous prime is 4127074522513. The next prime is 4127074522573. The reversal of 4127074522560 is 652254707214.

4127074522560 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 0 + 74 + 522 + 56 + 0 = 666.

It is a super-2 number, since 2×4127074522560² (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, 598209991 + ... + 598216889.

Almost surely, 2^{4127074522560} is an apocalyptic number.

4127074522560 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 4127074522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090618515200).

4127074522560 is an abundant number, since it is smaller than the sum of its proper divisors (12054162507840).

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

4127074522560 is a wasteful number, since it uses less digits than its factorization.

4127074522560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7777 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 4127074522560 in words is "four trillion, one hundred twenty-seven billion, seventy-four million, five hundred twenty-two thousand, five hundred sixty".