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40973821056 = 2733717671487
BaseRepresentation
bin100110001010001110…
…101110010010000000
310220202112110202212000
4212022032232102000
51132403244233211
630453443104000
72650240506150
oct461216562200
9126675422760
1040973821056
1116416721233
127b36072000
133b2ca54a3c
141da9a62760
1510ec246656
hex98a3ae480

40973821056 has 512 divisors, whose sum is σ = 148619059200. Its totient is φ = 10846420992.

The previous prime is 40973821033. The next prime is 40973821061. The reversal of 40973821056 is 65012837904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27553945 + ... + 27555431.

It is an arithmetic number, because the mean of its divisors is an integer number (290271600).

It is a 1-persistent number, because it is pandigital, but 2⋅40973821056 = 81947642112 is not.

Almost surely, 240973821056 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 40973821056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74309529600).

40973821056 is an abundant number, since it is smaller than the sum of its proper divisors (107645238144).

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

40973821056 is a wasteful number, since it uses less digits than its factorization.

40973821056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 40973821056 in words is "forty billion, nine hundred seventy-three million, eight hundred twenty-one thousand, fifty-six".