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41267415420 = 2232571142237
BaseRepresentation
bin100110011011101110…
…101100100101111100
310221111222220220121100
4212123232230211330
51134003424243140
630542531533100
72660434146330
oct463356544574
9127458826540
1041267415420
1116557420000
127bb845a190
133b7881c00a
141dd6a497c0
151117ddc530
hex99bbac97c

41267415420 has 360 divisors, whose sum is σ = 157435780320. Its totient is φ = 8571214080.

The previous prime is 41267415383. The next prime is 41267415437. The reversal of 41267415420 is 2451476214.

41267415420 is a `hidden beast` number, since 4 + 12 + 67 + 41 + 542 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18446542 + ... + 18448778.

It is an arithmetic number, because the mean of its divisors is an integer number (437321612).

Almost surely, 241267415420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41267415420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78717890160).

41267415420 is an abundant number, since it is smaller than the sum of its proper divisors (116168364900).

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

41267415420 is a wasteful number, since it uses less digits than its factorization.

41267415420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 41267415420 in words is "forty-one billion, two hundred sixty-seven million, four hundred fifteen thousand, four hundred twenty".