4124740156704 has 192 divisors, whose sum is σ = 12195783694080. Its totient is φ = 1373020574976.

The previous prime is 4124740156681. The next prime is 4124740156709. The reversal of 4124740156704 is 4076510474214.

4124740156704 is a `hidden beast` number, since 4 + 1 + 2 + 47 + 40 + 1 + 567 + 0 + 4 = 666.

It is a super-2 number, since 2×4124740156704² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4124740156704.

It is not an unprimeable number, because it can be changed into a prime (4124740156709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51258069 + ... + 51338475.

It is an arithmetic number, because the mean of its divisors is an integer number (63519706740).

Almost surely, 2^{4124740156704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124740156704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097891847040).

4124740156704 is an abundant number, since it is smaller than the sum of its proper divisors (8071043537376).

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

4124740156704 is an frugal number, since it uses more digits than its factorization.

4124740156704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81171 (or 81145 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 4124740156704 in words is "four trillion, one hundred twenty-four billion, seven hundred forty million, one hundred fifty-six thousand, seven hundred four".