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41690880000 = 211325471147
BaseRepresentation
bin100110110100111110…
…000101100000000000
310222121111202010210200
4212310332011200000
51140340331130000
631052540125200
73004065430050
oct466476054000
9128544663720
1041690880000
1116754462230
1280b6236800
133c15487983
142036d9b560
151140188500
hex9b4f85800

41690880000 has 1440 divisors, whose sum is σ = 191584673280. Its totient is φ = 8478720000.

The previous prime is 41690879987. The next prime is 41690880029. The reversal of 41690880000 is 8809614.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 887039977 + ... + 887040023.

It is an arithmetic number, because the mean of its divisors is an integer number (133044912).

Almost surely, 241690880000 is an apocalyptic number.

41690880000 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 41690880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95792336640).

41690880000 is an abundant number, since it is smaller than the sum of its proper divisors (149893793280).

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

41690880000 is a wasteful number, since it uses less digits than its factorization.

41690880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 41690880000 in words is "forty-one billion, six hundred ninety million, eight hundred eighty thousand".