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40623235918720 = 27571323311277703
BaseRepresentation
bin10010011110010010101011…
…00010111110101110000000
312022211112200011021001000221
421033021111202332232000
520311032341343344340
6222222020144552424
711361634440665020
oct1117112542765600
9168745604231027
1040623235918720
1111a422436a3284
12468107b622714
1319889a71363b0
14a062646dda80
154a6a8494b44a
hex24f2558beb80

40623235918720 has 1024 divisors, whose sum is σ = 129776756981760. Its totient is φ = 11805665034240.

The previous prime is 40623235918711. The next prime is 40623235918753. The reversal of 40623235918720 is 2781953232604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5273686389 + ... + 5273694091.

It is an arithmetic number, because the mean of its divisors is an integer number (126735114240).

It is a 1-persistent number, because it is pandigital, but 2⋅40623235918720 = 81246471837440 is not.

Almost surely, 240623235918720 is an apocalyptic number.

40623235918720 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 40623235918720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64888378490880).

40623235918720 is an abundant number, since it is smaller than the sum of its proper divisors (89153521063040).

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

40623235918720 is a wasteful number, since it uses less digits than its factorization.

40623235918720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7923 (or 7911 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 40623235918720 in words is "forty trillion, six hundred twenty-three billion, two hundred thirty-five million, nine hundred eighteen thousand, seven hundred twenty".