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40936237056 = 21133111331167
BaseRepresentation
bin100110000111111111…
…010110100000000000
310220122220202022022000
4212013333112200000
51132314134041211
630450021344000
72646303162621
oct460777264000
9126586668260
1040936237056
11163a7490880
127b25568000
133b25025aa0
141da4a7ba48
1510e8cc0656
hex987fd6800

40936237056 has 768 divisors, whose sum is σ = 147938918400. Its totient is φ = 11014963200.

The previous prime is 40936237051. The next prime is 40936237057. The reversal of 40936237056 is 65073263904.

40936237056 is a `hidden beast` number, since 409 + 3 + 6 + 237 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (40936237051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245127085 + ... + 245127251.

It is an arithmetic number, because the mean of its divisors is an integer number (192628800).

Almost surely, 240936237056 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 40936237056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73969459200).

40936237056 is an abundant number, since it is smaller than the sum of its proper divisors (107002681344).

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

40936237056 is a wasteful number, since it uses less digits than its factorization.

40936237056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 40936237056 in words is "forty billion, nine hundred thirty-six million, two hundred thirty-seven thousand, fifty-six".