4052953522800 has 1620 divisors, whose sum is σ = 18122839423416. Its totient is φ = 831372595200.

The previous prime is 4052953522747. The next prime is 4052953522843. The reversal of 4052953522800 is 82253592504.

4052953522800 is a `hidden beast` number, since 4 + 0 + 5 + 295 + 352 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 3139390155 + ... + 3139391445.

Almost surely, 2^{4052953522800} is an apocalyptic number.

4052953522800 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 4052953522800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9061419711708).

4052953522800 is an abundant number, since it is smaller than the sum of its proper divisors (14069885900616).

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

4052953522800 is a wasteful number, since it uses less digits than its factorization.

4052953522800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 4052953522800 in words is "four trillion, fifty-two billion, nine hundred fifty-three million, five hundred twenty-two thousand, eight hundred".