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40948080880 = 2457317412141
BaseRepresentation
bin100110001000101100…
…100010000011110000
310220200202001000222011
4212020230202003300
51132330202042010
630451123252304
72646505642000
oct461054420360
9126622030864
1040948080880
1116403140263
127b2951a094
133b27611975
141da6482000
1510e9d5ea8a
hex988b220f0

40948080880 has 320 divisors, whose sum is σ = 120479788800. Its totient is φ = 12885196800.

The previous prime is 40948080851. The next prime is 40948080911. The reversal of 40948080880 is 8808084904.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19124610 + ... + 19126750.

It is an arithmetic number, because the mean of its divisors is an integer number (376499340).

Almost surely, 240948080880 is an apocalyptic number.

40948080880 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 40948080880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60239894400).

40948080880 is an abundant number, since it is smaller than the sum of its proper divisors (79531707920).

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

40948080880 is a wasteful number, since it uses less digits than its factorization.

40948080880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The spelling of 40948080880 in words is "forty billion, nine hundred forty-eight million, eighty thousand, eight hundred eighty".