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40258044768 = 25337471511597
BaseRepresentation
bin100101011111100100…
…010000001101100000
310211220122121120101010
4211133210100031200
51124422024413033
630254433340520
72623426506624
oct453744201540
9124818546333
1040258044768
1116089686987
127976407740
133a47680886
141d3c97d184
1510a94a9863
hex95f910360

40258044768 has 192 divisors, whose sum is σ = 111646660608. Its totient is φ = 12686284800.

The previous prime is 40258044707. The next prime is 40258044781. The reversal of 40258044768 is 86744085204.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25207746 + ... + 25209342.

It is an arithmetic number, because the mean of its divisors is an integer number (581493024).

Almost surely, 240258044768 is an apocalyptic number.

40258044768 is a gapful number since it is divisible by the number (48) 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 40258044768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55823330304).

40258044768 is an abundant number, since it is smaller than the sum of its proper divisors (71388615840).

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

40258044768 is a wasteful number, since it uses less digits than its factorization.

40258044768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 48.

The spelling of 40258044768 in words is "forty billion, two hundred fifty-eight million, forty-four thousand, seven hundred sixty-eight".