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41390711424 = 273319792101
BaseRepresentation
bin100110100011000101…
…000010001010000000
310221211120220222221000
4212203011002022000
51134232010231144
631003054332000
72663462146026
oct464305021200
9127746828830
1041390711424
111660aa83127
1280317ba000
133b9822b22a
142009182716
151123b44769
hex9a3142280

41390711424 has 384 divisors, whose sum is σ = 131527368000. Its totient is φ = 12777523200.

The previous prime is 41390711389. The next prime is 41390711429. The reversal of 41390711424 is 42411709314.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (41390711429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409808974 + ... + 409809074.

Almost surely, 241390711424 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 41390711424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65763684000).

41390711424 is an abundant number, since it is smaller than the sum of its proper divisors (90136656576).

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

41390711424 is a wasteful number, since it uses less digits than its factorization.

41390711424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 41390711424 in words is "forty-one billion, three hundred ninety million, seven hundred eleven thousand, four hundred twenty-four".