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40923118080 = 2934513171947
BaseRepresentation
bin100110000111001101…
…010011101000000000
310220122000001210110000
4212013031103220000
51132302304234310
630444432240000
72646053523105
oct460715235000
9126560053400
1040923118080
11163a0040349
127b210a0000
133b223b1690
141da3024aac
1510e7a7d4c0
hex987353a00

40923118080 has 1600 divisors, whose sum is σ = 179673500160. Its totient is φ = 8790736896.

The previous prime is 40923118079. The next prime is 40923118091. The reversal of 40923118080 is 8081132904.

40923118080 is a `hidden beast` number, since 409 + 231 + 18 + 0 + 8 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 870704617 + ... + 870704663.

Almost surely, 240923118080 is an apocalyptic number.

40923118080 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 40923118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89836750080).

40923118080 is an abundant number, since it is smaller than the sum of its proper divisors (138750382080).

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

40923118080 is a wasteful number, since it uses less digits than its factorization.

40923118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

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

The spelling of 40923118080 in words is "forty billion, nine hundred twenty-three million, one hundred eighteen thousand, eighty".