4020029280 has 288 divisors, whose sum is σ = 14197607424. Its totient is φ = 1035030528.

The previous prime is 4020029261. The next prime is 4020029323. The reversal of 4020029280 is 829200204.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10495969 + ... + 10496351.

It is an arithmetic number, because the mean of its divisors is an integer number (49297248).

Almost surely, 2^4020029280 is an apocalyptic number.

4020029280 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 4020029280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7098803712).

4020029280 is an abundant number, since it is smaller than the sum of its proper divisors (10177578144).

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

4020029280 is a wasteful number, since it uses less digits than its factorization.

4020029280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

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

The square root of 4020029280 is about 63403.7008383580. The cubic root of 4020029280 is about 1590.0461835405.

Adding to 4020029280 its reverse (829200204), we get a palindrome (4849229484).

The spelling of 4020029280 in words is "four billion, twenty million, twenty-nine thousand, two hundred eighty".