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41375940480 = 27375741103
BaseRepresentation
bin100110100010001100…
…101011111110000000
310221210120010120000000
4212202030223332000
51134214220043410
631001410000000
72663222456040
oct464214537600
9127716116000
1041375940480
1116602704536
128028876000
133b95158c24
142007219720
1511226c7dc0
hex9a232bf80

41375940480 has 1024 divisors, whose sum is σ = 175362969600. Its totient is φ = 9137111040.

The previous prime is 41375940469. The next prime is 41375940497. The reversal of 41375940480 is 8404957314.

41375940480 is a `hidden beast` number, since 4 + 13 + 7 + 594 + 0 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 401708109 + ... + 401708211.

It is an arithmetic number, because the mean of its divisors is an integer number (171252900).

Almost surely, 241375940480 is an apocalyptic number.

41375940480 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 41375940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87681484800).

41375940480 is an abundant number, since it is smaller than the sum of its proper divisors (133987029120).

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

41375940480 is an equidigital number, since it uses as much as digits as its factorization.

41375940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 41375940480 in words is "forty-one billion, three hundred seventy-five million, nine hundred forty thousand, four hundred eighty".