4132029440 has 352 divisors, whose sum is σ = 12677382144. Its totient is φ = 1254850560.

The previous prime is 4132029437. The next prime is 4132029449. The reversal of 4132029440 is 449202314.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132029449) 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, 18529169 + ... + 18529391.

Almost surely, 2^4132029440 is an apocalyptic number.

4132029440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6338691072).

4132029440 is an abundant number, since it is smaller than the sum of its proper divisors (8545352704).

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

4132029440 is a wasteful number, since it uses less digits than its factorization.

4132029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 4132029440 is about 64280.8637154169. The cubic root of 4132029440 is about 1604.6776447813.

The spelling of 4132029440 in words is "four billion, one hundred thirty-two million, twenty-nine thousand, four hundred forty".