4053417984 has 720 divisors, whose sum is σ = 16137092160. Its totient is φ = 990904320.

The previous prime is 4053417983. The next prime is 4053417997. The reversal of 4053417984 is 4897143504.

4053417984 is a `hidden beast` number, since 40 + 534 + 1 + 79 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053417983) 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, 238436344 + ... + 238436360.

It is an arithmetic number, because the mean of its divisors is an integer number (22412628).

Almost surely, 2^4053417984 is an apocalyptic number.

4053417984 is a gapful number since it is divisible by the number (44) 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 4053417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8068546080).

4053417984 is an abundant number, since it is smaller than the sum of its proper divisors (12083674176).

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

4053417984 is a wasteful number, since it uses less digits than its factorization.

4053417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4053417984 is about 63666.4588617900. The cubic root of 4053417984 is about 1594.4361412659.

The spelling of 4053417984 in words is "four billion, fifty-three million, four hundred seventeen thousand, nine hundred eighty-four".