1940164458416 has 160 divisors (see below), whose sum is σ = 4148359488000. Its totient is φ = 875492222976.

The previous prime is 1940164458413. The next prime is 1940164458461. The reversal of 1940164458416 is 6148544610491.

It is not an unprimeable number, because it can be changed into a prime (1940164458413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201696455 + ... + 201706073.

It is an arithmetic number, because the mean of its divisors is an integer number (25927246800).

Almost surely, 2^{1940164458416} is an apocalyptic number.

1940164458416 is a gapful number since it is divisible by the number (16) 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 1940164458416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074179744000).

1940164458416 is an abundant number, since it is smaller than the sum of its proper divisors (2208195029584).

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

1940164458416 is a wasteful number, since it uses less digits than its factorization.

1940164458416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9979 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 53.

The spelling of 1940164458416 in words is "one trillion, nine hundred forty billion, one hundred sixty-four million, four hundred fifty-eight thousand, four hundred sixteen".