4029025875840 has 1536 divisors, whose sum is σ = 17223454310400. Its totient is φ = 847665561600.

The previous prime is 4029025875839. The next prime is 4029025875877. The reversal of 4029025875840 is 485785209204.

4029025875840 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 0 + 2 + 58 + 7 + 584 + 0 = 666.

4029025875840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7733254780 + ... + 7733255300.

It is an arithmetic number, because the mean of its divisors is an integer number (11213186400).

Almost surely, 2^{4029025875840} is an apocalyptic number.

4029025875840 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 4029025875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8611727155200).

4029025875840 is an abundant number, since it is smaller than the sum of its proper divisors (13194428434560).

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

4029025875840 is a wasteful number, since it uses less digits than its factorization.

4029025875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 4029025875840 in words is "four trillion, twenty-nine billion, twenty-five million, eight hundred seventy-five thousand, eight hundred forty".