40117359434240 has 640 divisors, whose sum is σ = 113231724705792. Its totient is φ = 13485473464320.

The previous prime is 40117359434239. The next prime is 40117359434261. The reversal of 40117359434240 is 4243495371104.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2299902959 + ... + 2299920401.

Almost surely, 2^{40117359434240} is an apocalyptic number.

40117359434240 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 40117359434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56615862352896).

40117359434240 is an abundant number, since it is smaller than the sum of its proper divisors (73114365271552).

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

40117359434240 is a wasteful number, since it uses less digits than its factorization.

40117359434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17620 (or 17604 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 40117359434240 in words is "forty trillion, one hundred seventeen billion, three hundred fifty-nine million, four hundred thirty-four thousand, two hundred forty".