4156038144 has 264 divisors, whose sum is σ = 13036409568. Its totient is φ = 1270087680.

The previous prime is 4156038137. The next prime is 4156038181. The reversal of 4156038144 is 4418306514.

4156038144 is a `hidden beast` number, since 4 + 1 + 5 + 603 + 8 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4156038099 and 4156038108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6423229 + ... + 6423875.

Almost surely, 2^4156038144 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 4156038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518204784).

4156038144 is an abundant number, since it is smaller than the sum of its proper divisors (8880371424).

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

4156038144 is a wasteful number, since it uses less digits than its factorization.

4156038144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4156038144 is about 64467.3416855387. The cubic root of 4156038144 is about 1607.7795792022.

The spelling of 4156038144 in words is "four billion, one hundred fifty-six million, thirty-eight thousand, one hundred forty-four".