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41494396416 = 2931121723571
BaseRepresentation
bin100110101001010000…
…100011111000000000
310222002211000201222220
4212221100203320000
51134440031141131
631021240531040
72666161356444
oct465120437000
9128084021886
1041494396416
1116663561200
128060480a80
133bb38620b5
142018c52824
15112ccc5e96
hex9a9423e00

41494396416 has 480 divisors, whose sum is σ = 134482892544. Its totient is φ = 11300044800.

The previous prime is 41494396403. The next prime is 41494396469. The reversal of 41494396416 is 61469349414.

It is a super-3 number, since 3×414943964163 (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72669411 + ... + 72669981.

Almost surely, 241494396416 is an apocalyptic number.

41494396416 is a gapful number since it is divisible by the number (46) 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 41494396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67241446272).

41494396416 is an abundant number, since it is smaller than the sum of its proper divisors (92988496128).

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

41494396416 is a wasteful number, since it uses less digits than its factorization.

41494396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 627 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The spelling of 41494396416 in words is "forty-one billion, four hundred ninety-four million, three hundred ninety-six thousand, four hundred sixteen".