1852242416640 has 2112 divisors, whose sum is σ = 8475735490560. Its totient is φ = 362753556480.

The previous prime is 1852242416603. The next prime is 1852242416657. The reversal of 1852242416640 is 466142422581.

1852242416640 is a `hidden beast` number, since 1 + 8 + 5 + 22 + 424 + 166 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4836141889 + ... + 4836142271.

Almost surely, 2^{1852242416640} is an apocalyptic number.

1852242416640 is a gapful number since it is divisible by the number (10) 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 1852242416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4237867745280).

1852242416640 is an abundant number, since it is smaller than the sum of its proper divisors (6623493073920).

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

1852242416640 is a wasteful number, since it uses less digits than its factorization.

1852242416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 1852242416640 in words is "one trillion, eight hundred fifty-two billion, two hundred forty-two million, four hundred sixteen thousand, six hundred forty".