4133046652020 has 288 divisors, whose sum is σ = 14731193917440. Its totient is φ = 924719431680.

The previous prime is 4133046651977. The next prime is 4133046652039. The reversal of 4133046652020 is 202566403314.

4133046652020 is a `hidden beast` number, since 41 + 3 + 30 + 4 + 66 + 520 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217416276 + ... + 217435284.

It is an arithmetic number, because the mean of its divisors is an integer number (51149978880).

Almost surely, 2^{4133046652020} 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 4133046652020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7365596958720).

4133046652020 is an abundant number, since it is smaller than the sum of its proper divisors (10598147265420).

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

4133046652020 is a wasteful number, since it uses less digits than its factorization.

4133046652020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27495 (or 27490 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 4133046652020 in words is "four trillion, one hundred thirty-three billion, forty-six million, six hundred fifty-two thousand, twenty".