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40402727424 = 29351272557
BaseRepresentation
bin100101101000001100…
…001011001000000000
310212021201212012200000
4211220030023020000
51130221044234144
630321042400000
72630134342143
oct455014131000
9125251765600
1040402727424
1116153317124
1279b6960000
133a6b63a407
141d53c8205a
1510b7038769
hex96830b200

40402727424 has 240 divisors, whose sum is σ = 121923529728. Its totient is φ = 13356306432.

The previous prime is 40402727423. The next prime is 40402727447. The reversal of 40402727424 is 42472720404.

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

It is not an unprimeable number, because it can be changed into a prime (40402727423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15799554 + ... + 15802110.

Almost surely, 240402727424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40402727424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60961764864).

40402727424 is an abundant number, since it is smaller than the sum of its proper divisors (81520802304).

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

40402727424 is an equidigital number, since it uses as much as digits as its factorization.

40402727424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The spelling of 40402727424 in words is "forty billion, four hundred two million, seven hundred twenty-seven thousand, four hundred twenty-four".