4161293323140 has 192 divisors, whose sum is σ = 12311212032000. Its totient is φ = 1047308967936.

The previous prime is 4161293323127. The next prime is 4161293323153. The reversal of 4161293323140 is 413233921614.

It is an interprime number because it is at equal distance from previous prime (4161293323127) and next prime (4161293323153).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349594429 + ... + 349606331.

It is an arithmetic number, because the mean of its divisors is an integer number (64120896000).

Almost surely, 2^{4161293323140} 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 4161293323140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155606016000).

4161293323140 is an abundant number, since it is smaller than the sum of its proper divisors (8149918708860).

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

4161293323140 is a wasteful number, since it uses less digits than its factorization.

4161293323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13066 (or 13064 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 4161293323140 in words is "four trillion, one hundred sixty-one billion, two hundred ninety-three million, three hundred twenty-three thousand, one hundred forty".