4001120928 has 192 divisors, whose sum is σ = 14039424000. Its totient is φ = 1082979072.

The previous prime is 4001120899. The next prime is 4001120957. The reversal of 4001120928 is 8290211004.

It is an interprime number because it is at equal distance from previous prime (4001120899) and next prime (4001120957).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97503 + ... + 132321.

It is an arithmetic number, because the mean of its divisors is an integer number (73122000).

Almost surely, 2^4001120928 is an apocalyptic number.

4001120928 is a gapful number since it is divisible by the number (48) 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 4001120928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019712000).

4001120928 is an abundant number, since it is smaller than the sum of its proper divisors (10038303072).

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

4001120928 is a wasteful number, since it uses less digits than its factorization.

4001120928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34864 (or 34850 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4001120928 is about 63254.4142965532. The cubic root of 4001120928 is about 1587.5493183099.

The spelling of 4001120928 in words is "four billion, one million, one hundred twenty thousand, nine hundred twenty-eight".