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40855896000 = 26325317291151
BaseRepresentation
bin100110000011001100…
…110111111111000000
310220110022120120002100
4212003030313333000
51132133102133000
630434031350400
72644306246263
oct460314677700
9126408516070
1040855896000
11163660a7407
127b02682400
133b114a63ba
141d98126cda
1510e1c00a00
hex983337fc0

40855896000 has 672 divisors, whose sum is σ = 160220436480. Its totient is φ = 9891840000.

The previous prime is 40855895989. The next prime is 40855896019. The reversal of 40855896000 is 69855804.

40855896000 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 589 + 60 + 0 + 0 = 666.

40855896000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35495425 + ... + 35496575.

Almost surely, 240855896000 is an apocalyptic number.

40855896000 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 40855896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80110218240).

40855896000 is an abundant number, since it is smaller than the sum of its proper divisors (119364540480).

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

40855896000 is a wasteful number, since it uses less digits than its factorization.

40855896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 40855896000 in words is "forty billion, eight hundred fifty-five million, eight hundred ninety-six thousand".