4052282572800 has 2448 divisors, whose sum is σ = 18741953438208. Its totient is φ = 812541542400.

The previous prime is 4052282572783. The next prime is 4052282572817. The reversal of 4052282572800 is 82752822504.

4052282572800 is a `hidden beast` number, since 4 + 0 + 52 + 28 + 2 + 572 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4052282572783) and next prime (4052282572817).

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 143 ways as a sum of consecutive naturals, for example, 48822681559 + ... + 48822681641.

Almost surely, 2^{4052282572800} is an apocalyptic number.

4052282572800 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 4052282572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370976719104).

4052282572800 is an abundant number, since it is smaller than the sum of its proper divisors (14689670865408).

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

4052282572800 is a wasteful number, since it uses less digits than its factorization.

4052282572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 4052282572800 in words is "four trillion, fifty-two billion, two hundred eighty-two million, five hundred seventy-two thousand, eight hundred".