40242123343120 has 80 divisors (see below), whose sum is σ = 94546413642240. Its totient is φ = 15927715418112.

The previous prime is 40242123343099. The next prime is 40242123343133. The reversal of 40242123343120 is 2134332124204.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38462271 + ... + 39494689.

It is an arithmetic number, because the mean of its divisors is an integer number (1181830170528).

Almost surely, 2^{40242123343120} is an apocalyptic number.

40242123343120 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 40242123343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47273206821120).

40242123343120 is an abundant number, since it is smaller than the sum of its proper divisors (54304290299120).

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

40242123343120 is a wasteful number, since it uses less digits than its factorization.

40242123343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037552 (or 1037546 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 40242123343120 its reverse (2134332124204), we get a palindrome (42376455467324).

The spelling of 40242123343120 in words is "forty trillion, two hundred forty-two billion, one hundred twenty-three million, three hundred forty-three thousand, one hundred twenty".