1940164458428 has 192 divisors, whose sum is σ = 4210685337600. Its totient is φ = 763405074432.

The previous prime is 1940164458413. The next prime is 1940164458461. The reversal of 1940164458428 is 8248544610491.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2248162325 + ... + 2248163187.

It is an arithmetic number, because the mean of its divisors is an integer number (21930652800).

Almost surely, 2^{1940164458428} 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 1940164458428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105342668800).

1940164458428 is an abundant number, since it is smaller than the sum of its proper divisors (2270520879172).

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

1940164458428 is a wasteful number, since it uses less digits than its factorization.

1940164458428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 1940164458428 in words is "one trillion, nine hundred forty billion, one hundred sixty-four million, four hundred fifty-eight thousand, four hundred twenty-eight".