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40432014432 = 253471832647
BaseRepresentation
bin100101101001111011…
…111001010001100000
310212100202222010220000
4211221323321101200
51130301043430212
630324010220000
72630641311045
oct455173712140
9125322863800
1040432014432
11161688aa967
127a04724600
133a747229c4
141d57b071cc
1510b98c11dc
hex969ef9460

40432014432 has 240 divisors, whose sum is σ = 122083137792. Its totient is φ = 13122466560.

The previous prime is 40432014409. The next prime is 40432014487. The reversal of 40432014432 is 23441023404.

It is a happy number.

40432014432 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 40432014396 and 40432014405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15273333 + ... + 15275979.

Almost surely, 240432014432 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 40432014432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61041568896).

40432014432 is an abundant number, since it is smaller than the sum of its proper divisors (81651123360).

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

40432014432 is a wasteful number, since it uses less digits than its factorization.

40432014432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 40432014432 its reverse (23441023404), we get a palindrome (63873037836).

The spelling of 40432014432 in words is "forty billion, four hundred thirty-two million, fourteen thousand, four hundred thirty-two".