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40858050240 = 263357317811
BaseRepresentation
bin100110000011010101…
…000101111011000000
310220110110122000011000
4212003111011323000
51132134130101430
630434145452000
72644333461000
oct460325057300
9126413560130
1040858050240
1116367338977
127b03341000
133b11a7bab7
141d98528000
1510e1ec8e60
hex983545ec0

40858050240 has 896 divisors, whose sum is σ = 178198272000. Its totient is φ = 8778792960.

The previous prime is 40858050229. The next prime is 40858050263. The reversal of 40858050240 is 4205085804.

40858050240 is a `hidden beast` number, since 4 + 0 + 8 + 580 + 50 + 24 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40858050195 and 40858050204.

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, 50379435 + ... + 50380245.

It is an arithmetic number, because the mean of its divisors is an integer number (198882000).

Almost surely, 240858050240 is an apocalyptic number.

40858050240 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 40858050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89099136000).

40858050240 is an abundant number, since it is smaller than the sum of its proper divisors (137340221760).

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

40858050240 is a wasteful number, since it uses less digits than its factorization.

40858050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 40858050240 in words is "forty billion, eight hundred fifty-eight million, fifty thousand, two hundred forty".