40119934417248 has 192 divisors, whose sum is σ = 120490135234560. Its totient is φ = 11450432028672.

The previous prime is 40119934417237. The next prime is 40119934417259. The reversal of 40119934417248 is 84271443991104.

It is an interprime number because it is at equal distance from previous prime (40119934417237) and next prime (40119934417259).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3810416848 + ... + 3810427376.

It is an arithmetic number, because the mean of its divisors is an integer number (627552787680).

Almost surely, 2^{40119934417248} is an apocalyptic number.

40119934417248 is a gapful number since it is divisible by the number (48) 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 40119934417248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60245067617280).

40119934417248 is an abundant number, since it is smaller than the sum of its proper divisors (80370200817312).

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

40119934417248 is a wasteful number, since it uses less digits than its factorization.

40119934417248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16149 (or 16141 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 40119934417248 in words is "forty trillion, one hundred nineteen billion, nine hundred thirty-four million, four hundred seventeen thousand, two hundred forty-eight".