4053219840 has 480 divisors, whose sum is σ = 15167243520. Its totient is φ = 997097472.

The previous prime is 4053219839. The next prime is 4053219851. The reversal of 4053219840 is 489123504.

4053219840 is a `hidden beast` number, since 40 + 532 + 1 + 9 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 4053219795 and 4053219804.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20574622 + ... + 20574818.

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

Almost surely, 2^4053219840 is an apocalyptic number.

4053219840 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 4053219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7583621760).

4053219840 is an abundant number, since it is smaller than the sum of its proper divisors (11114023680).

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

4053219840 is a wasteful number, since it uses less digits than its factorization.

4053219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4053219840 is about 63664.9027329815. The cubic root of 4053219840 is about 1594.4101604678.

The spelling of 4053219840 in words is "four billion, fifty-three million, two hundred nineteen thousand, eight hundred forty".