4006657152 has 96 divisors (see below), whose sum is σ = 11641855680. Its totient is φ = 1322546688.

The previous prime is 4006657097. The next prime is 4006657169. The reversal of 4006657152 is 2517566004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4006657152² = 32106603067345502208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101773 + ... + 135539.

It is an arithmetic number, because the mean of its divisors is an integer number (121269330).

Almost surely, 2^4006657152 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 4006657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820927840).

4006657152 is an abundant number, since it is smaller than the sum of its proper divisors (7635198528).

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

4006657152 is a wasteful number, since it uses less digits than its factorization.

4006657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33890 (or 33875 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4006657152 is about 63298.1607315726. The cubic root of 4006657152 is about 1588.2811947190.

The spelling of 4006657152 in words is "four billion, six million, six hundred fifty-seven thousand, one hundred fifty-two".