4053195210240 has 560 divisors, whose sum is σ = 15895267231536. Its totient is φ = 982587801600.

The previous prime is 4053195210227. The next prime is 4053195210247. The reversal of 4053195210240 is 420125913504.

4053195210240 is a `hidden beast` number, since 4 + 0 + 531 + 95 + 2 + 10 + 24 + 0 = 666.

4053195210240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 4053195210195 and 4053195210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053195210247) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20429920 + ... + 20627360.

Almost surely, 2^{4053195210240} is an apocalyptic number.

4053195210240 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 4053195210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7947633615768).

4053195210240 is an abundant number, since it is smaller than the sum of its proper divisors (11842072021296).

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

4053195210240 is an equidigital number, since it uses as much as digits as its factorization.

4053195210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197493 (or 197462 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 4053195210240 in words is "four trillion, fifty-three billion, one hundred ninety-five million, two hundred ten thousand, two hundred forty".