4005051456 has 336 divisors, whose sum is σ = 13076066304. Its totient is φ = 1076511744.

The previous prime is 4005051451. The next prime is 4005051473. The reversal of 4005051456 is 6541505004.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (4005051451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17959761 + ... + 17959983.

It is an arithmetic number, because the mean of its divisors is an integer number (38916864).

Almost surely, 2^4005051456 is an apocalyptic number.

4005051456 is a gapful number since it is divisible by the number (46) 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 4005051456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538033152).

4005051456 is an abundant number, since it is smaller than the sum of its proper divisors (9071014848).

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

4005051456 is a wasteful number, since it uses less digits than its factorization.

4005051456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 4005051456 is about 63285.4758692704. The cubic root of 4005051456 is about 1588.0689947541.

The spelling of 4005051456 in words is "four billion, five million, fifty-one thousand, four hundred fifty-six".