495901741104 has 480 divisors, whose sum is σ = 1837012780800. Its totient is φ = 126618992640.

The previous prime is 495901741099. The next prime is 495901741109. The reversal of 495901741104 is 401147109594.

495901741104 is a `hidden beast` number, since 4 + 9 + 590 + 1 + 7 + 41 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (495901741099) and next prime (495901741109).

It is a self number, because there is not a number n which added to its sum of digits gives 495901741104.

It is not an unprimeable number, because it can be changed into a prime (495901741109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13719984 + ... + 13756080.

It is an arithmetic number, because the mean of its divisors is an integer number (3827109960).

Almost surely, 2^495901741104 is an apocalyptic number.

495901741104 is a gapful number since it is divisible by the number (44) 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 495901741104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918506390400).

495901741104 is an abundant number, since it is smaller than the sum of its proper divisors (1341111039696).

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

495901741104 is a wasteful number, since it uses less digits than its factorization.

495901741104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36198 (or 36179 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 495901741104 in words is "four hundred ninety-five billion, nine hundred one million, seven hundred forty-one thousand, one hundred four".