4002932880 has 480 divisors, whose sum is σ = 15167243520. Its totient is φ = 940769280.

The previous prime is 4002932873. The next prime is 4002932893. The reversal of 4002932880 is 882392004.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16609560 + ... + 16609800.

It is an arithmetic number, because the mean of its divisors is an integer number (31598424).

Almost surely, 2^4002932880 is an apocalyptic number.

4002932880 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 4002932880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583621760).

4002932880 is an abundant number, since it is smaller than the sum of its proper divisors (11164310640).

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

4002932880 is a wasteful number, since it uses less digits than its factorization.

4002932880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4002932880 is about 63268.7354069923. The cubic root of 4002932880 is about 1587.7889285838.

The spelling of 4002932880 in words is "four billion, two million, nine hundred thirty-two thousand, eight hundred eighty".