40498449118560 has 576 divisors, whose sum is σ = 144906347476800. Its totient is φ = 10289210720256.

The previous prime is 40498449118553. The next prime is 40498449118583. The reversal of 40498449118560 is 6581194489404.

40498449118560 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 8 + 4 + 491 + 1 + 85 + 60 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 807859576 + ... + 807909704.

It is an arithmetic number, because the mean of its divisors is an integer number (251573519925).

Almost surely, 2^{40498449118560} is an apocalyptic number.

40498449118560 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 40498449118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72453173738400).

40498449118560 is an abundant number, since it is smaller than the sum of its proper divisors (104407898358240).

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

40498449118560 is a wasteful number, since it uses less digits than its factorization.

40498449118560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50503 (or 50492 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 40498449118560 in words is "forty trillion, four hundred ninety-eight billion, four hundred forty-nine million, one hundred eighteen thousand, five hundred sixty".