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40260960000 = 28325473383
BaseRepresentation
bin100101011111101111…
…010111111100000000
310211220212002200022200
4211133233113330000
51124423301210000
630255020033200
72623463341062
oct453757277400
9124825080280
1040260960000
1116090298168
127977392800
133a48161771
141d3d0db732
1510a9883500
hex95fbd7f00

40260960000 has 540 divisors, whose sum is σ = 147427408128. Its totient is φ = 10561536000.

The previous prime is 40260959989. The next prime is 40260960001. The reversal of 40260960000 is 6906204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40260960001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105119809 + ... + 105120191.

Almost surely, 240260960000 is an apocalyptic number.

40260960000 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 40260960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73713704064).

40260960000 is an abundant number, since it is smaller than the sum of its proper divisors (107166448128).

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

40260960000 is an equidigital number, since it uses as much as digits as its factorization.

40260960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 40260960000 in words is "forty billion, two hundred sixty million, nine hundred sixty thousand".