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40594530240 = 263551147459
BaseRepresentation
bin100101110011100111…
…110101111111000000
310212210002202210200000
4211303213311333000
51131114144431430
630352053400000
72634653546055
oct456347657700
9125702683600
1040594530240
1116241610450
127a4b039000
133a9c2b45c4
141d7152d02c
1510c8cc3e60
hex9739f5fc0

40594530240 has 336 divisors, whose sum is σ = 157966623360. Its totient is φ = 9840890880.

The previous prime is 40594530211. The next prime is 40594530269. The reversal of 40594530240 is 4203549504.

It is a happy number.

40594530240 is a `hidden beast` number, since 40 + 594 + 5 + 3 + 0 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40594530211) and next prime (40594530269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40594530195 and 40594530204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 831631 + ... + 879089.

It is an arithmetic number, because the mean of its divisors is an integer number (470138760).

Almost surely, 240594530240 is an apocalyptic number.

40594530240 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 40594530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78983311680).

40594530240 is an abundant number, since it is smaller than the sum of its proper divisors (117372093120).

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

40594530240 is a wasteful number, since it uses less digits than its factorization.

40594530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47502 (or 47480 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 40594530240 in words is "forty billion, five hundred ninety-four million, five hundred thirty thousand, two hundred forty".