4015156234752 has 480 divisors, whose sum is σ = 13120164214080. Its totient is φ = 1205209497600.

The previous prime is 4015156234751. The next prime is 4015156234763. The reversal of 4015156234752 is 2574326515104.

4015156234752 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 1 + 562 + 34 + 7 + 52 = 666.

It is a super-2 number, since 2×4015156234752² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4015156234698 and 4015156234707.

It is not an unprimeable number, because it can be changed into a prime (4015156234751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 302089227 + ... + 302102517.

It is an arithmetic number, because the mean of its divisors is an integer number (27333675446).

Almost surely, 2^{4015156234752} 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 4015156234752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560082107040).

4015156234752 is an abundant number, since it is smaller than the sum of its proper divisors (9105007979328).

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

4015156234752 is a wasteful number, since it uses less digits than its factorization.

4015156234752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13413 (or 13350 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 4015156234752 in words is "four trillion, fifteen billion, one hundred fifty-six million, two hundred thirty-four thousand, seven hundred fifty-two".