4129021440 has 640 divisors, whose sum is σ = 15838986240. Its totient is φ = 1017446400.

The previous prime is 4129021427. The next prime is 4129021447. The reversal of 4129021440 is 441209214.

It is a happy number.

4129021440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4129021447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87851497 + ... + 87851543.

It is an arithmetic number, because the mean of its divisors is an integer number (24748416).

Almost surely, 2^4129021440 is an apocalyptic number.

4129021440 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 4129021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120).

4129021440 is an abundant number, since it is smaller than the sum of its proper divisors (11709964800).

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

4129021440 is a wasteful number, since it uses less digits than its factorization.

4129021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4129021440 is about 64257.4621347591. The cubic root of 4129021440 is about 1604.2881636821.

The spelling of 4129021440 in words is "four billion, one hundred twenty-nine million, twenty-one thousand, four hundred forty".