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40881123216 = 243219291274057
BaseRepresentation
bin100110000100101101…
…000110111110010000
310220112002001020022200
4212010231012332100
51132211031420331
630440332203200
72645033546103
oct460455067620
9126462036280
1040881123216
1116379367a4a
127b0b009500
133b16799b4b
141d9b61273a
1510e40355e6
hex984b46f90

40881123216 has 240 divisors, whose sum is σ = 125596723200. Its totient is φ = 12363466752.

The previous prime is 40881123209. The next prime is 40881123221. The reversal of 40881123216 is 61232118804.

40881123216 is a `hidden beast` number, since 408 + 8 + 1 + 1 + 232 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10074660 + ... + 10078716.

It is an arithmetic number, because the mean of its divisors is an integer number (523319680).

Almost surely, 240881123216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40881123216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62798361600).

40881123216 is an abundant number, since it is smaller than the sum of its proper divisors (84715599984).

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

40881123216 is a wasteful number, since it uses less digits than its factorization.

40881123216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4246 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 40881123216 in words is "forty billion, eight hundred eighty-one million, one hundred twenty-three thousand, two hundred sixteen".