4146442792020 has 192 divisors, whose sum is σ = 13202022113280. Its totient is φ = 1079841974400.

The previous prime is 4146442791991. The next prime is 4146442792127. The reversal of 4146442792020 is 202972446414.

4146442792020 is a `hidden beast` number, since 4 + 14 + 6 + 4 + 427 + 9 + 202 + 0 = 666.

It is a super-2 number, since 2×4146442792020² (a number of 26 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 299786505 + ... + 299800335.

It is an arithmetic number, because the mean of its divisors is an integer number (68760531840).

Almost surely, 2^{4146442792020} 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 4146442792020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601011056640).

4146442792020 is an abundant number, since it is smaller than the sum of its proper divisors (9055579321260).

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

4146442792020 is a wasteful number, since it uses less digits than its factorization.

4146442792020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26803 (or 26795 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 4146442792020 in words is "four trillion, one hundred forty-six billion, four hundred forty-two million, seven hundred ninety-two thousand, twenty".