4053919296 has 112 divisors (see below), whose sum is σ = 12367223424. Its totient is φ = 1147969536.

The previous prime is 4053919291. The next prime is 4053919307. The reversal of 4053919296 is 6929193504.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4053919296² = 32868523316962271232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4053919291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138526 + ... + 165218.

Almost surely, 2^4053919296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4053919296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183611712).

4053919296 is an abundant number, since it is smaller than the sum of its proper divisors (8313304128).

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

4053919296 is a wasteful number, since it uses less digits than its factorization.

4053919296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26828 (or 26818 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 4053919296 is about 63670.3957581544. The cubic root of 4053919296 is about 1594.5018699114.

The spelling of 4053919296 in words is "four billion, fifty-three million, nine hundred nineteen thousand, two hundred ninety-six".