4124440104960 has 1040 divisors, whose sum is σ = 15646752774144. Its totient is φ = 927387353088.

The previous prime is 4124440104893. The next prime is 4124440104973. The reversal of 4124440104960 is 694010444214.

It is a happy number.

It is a super-2 number, since 2×4124440104960² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10768772929 + ... + 10768773311.

Almost surely, 2^{4124440104960} is an apocalyptic number.

4124440104960 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 4124440104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823376387072).

4124440104960 is an abundant number, since it is smaller than the sum of its proper divisors (11522312669184).

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

4124440104960 is an frugal number, since it uses more digits than its factorization.

4124440104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 4124440104960 in words is "four trillion, one hundred twenty-four billion, four hundred forty million, one hundred four thousand, nine hundred sixty".