4129506144 has 48 divisors (see below), whose sum is σ = 12044395440. Its totient is φ = 1376501760.

The previous prime is 4129506137. The next prime is 4129506163. The reversal of 4129506144 is 4416059214.

4129506144 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 506 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 4129506099 and 4129506108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2388897 + ... + 2390624.

It is an arithmetic number, because the mean of its divisors is an integer number (250924905).

Almost surely, 2^4129506144 is an apocalyptic number.

It is an amenable number.

4129506144 is an abundant number, since it is smaller than the sum of its proper divisors (7914889296).

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

4129506144 is a wasteful number, since it uses less digits than its factorization.

4129506144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4779540 (or 4779526 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4129506144 is about 64261.2336016046. The cubic root of 4129506144 is about 1604.3509367851.

The spelling of 4129506144 in words is "four billion, one hundred twenty-nine million, five hundred six thousand, one hundred forty-four".