40748817144640 has 560 divisors, whose sum is σ = 113375700705600. Its totient is φ = 13910206464000.

The previous prime is 40748817144631. The next prime is 40748817144653. The reversal of 40748817144640 is 4644171884704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10058950615 + ... + 10058954665.

Almost surely, 2^{40748817144640} is an apocalyptic number.

40748817144640 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 40748817144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56687850352800).

40748817144640 is an abundant number, since it is smaller than the sum of its proper divisors (72626883560960).

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

40748817144640 is a wasteful number, since it uses less digits than its factorization.

40748817144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4201 counting only the distinct ones).

The product of its (nonzero) digits is 19267584, while the sum is 58.

The spelling of 40748817144640 in words is "forty trillion, seven hundred forty-eight billion, eight hundred seventeen million, one hundred forty-four thousand, six hundred forty".