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41079299040 = 25345132310601
BaseRepresentation
bin100110010000100001…
…000101101111100000
310221000212221121110000
4212100201011233200
51133112300032130
630512131540000
72652661165143
oct462041055740
9127025847400
1041079299040
111647021441a
127b6545a600
133b48865a50
141db9a7c05a
15110662e260
hex990845be0

41079299040 has 480 divisors, whose sum is σ = 162931196736. Its totient is φ = 9671270400.

The previous prime is 41079299029. The next prime is 41079299059. The reversal of 41079299040 is 4099297014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 3869740 + ... + 3880340.

Almost surely, 241079299040 is an apocalyptic number.

41079299040 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 41079299040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81465598368).

41079299040 is an abundant number, since it is smaller than the sum of its proper divisors (121851897696).

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

41079299040 is a wasteful number, since it uses less digits than its factorization.

41079299040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10664 (or 10647 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 41079299040 in words is "forty-one billion, seventy-nine million, two hundred ninety-nine thousand, forty".