4201057182240 has 288 divisors, whose sum is σ = 15190633261440. Its totient is φ = 1053603274752.

The previous prime is 4201057182181. The next prime is 4201057182317. The reversal of 4201057182240 is 422817501024.

4201057182240 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 0 + 571 + 82 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 4201057182195 and 4201057182204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33401391 + ... + 33526929.

It is an arithmetic number, because the mean of its divisors is an integer number (52745254380).

Almost surely, 2^{4201057182240} is an apocalyptic number.

4201057182240 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 4201057182240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595316630720).

4201057182240 is an abundant number, since it is smaller than the sum of its proper divisors (10989576079200).

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

4201057182240 is a wasteful number, since it uses less digits than its factorization.

4201057182240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126944 (or 126933 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 4201057182240 in words is "four trillion, two hundred one billion, fifty-seven million, one hundred eighty-two thousand, two hundred forty".