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40532327640 = 2333572312797
BaseRepresentation
bin100101101111111010…
…100011110011011000
310212121202201120202000
4211233322203303120
51131002233441030
630341552241000
72633300046300
oct455772436330
9125552646660
1040532327640
111620a495742
127a32240160
133a8c445c2c
141d6717a600
1510c35d8860
hex96fea3cd8

40532327640 has 576 divisors, whose sum is σ = 162603352800. Its totient is φ = 8954426880.

The previous prime is 40532327629. The next prime is 40532327669. The reversal of 40532327640 is 4672323504.

40532327640 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 2 + 3 + 2 + 7 + 640 = 666.

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 = 40532327595 and 40532327604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 50855722 + ... + 50856518.

Almost surely, 240532327640 is an apocalyptic number.

40532327640 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 40532327640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81301676400).

40532327640 is an abundant number, since it is smaller than the sum of its proper divisors (122071025160).

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

40532327640 is a wasteful number, since it uses less digits than its factorization.

40532327640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 40532327640 in words is "forty billion, five hundred thirty-two million, three hundred twenty-seven thousand, six hundred forty".