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40366986660 = 223457112133173
BaseRepresentation
bin100101100110000011…
…110101010110100100
310212012020121101120000
4211212003311112210
51130132422033120
630313324341300
72626221503520
oct454603652644
9125166541500
1040366986660
1116135125600
1279a69a4830
133a64105430
141d4d21ad80
1510b3d28990
hex9660f55a4

40366986660 has 1440 divisors, whose sum is σ = 179261085696. Its totient is φ = 7390310400.

The previous prime is 40366986631. The next prime is 40366986689. The reversal of 40366986660 is 6668966304.

It is an interprime number because it is at equal distance from previous prime (40366986631) and next prime (40366986689).

It is a super-3 number, since 3×403669866603 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40366986597 and 40366986606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 552972384 + ... + 552972456.

Almost surely, 240366986660 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 40366986660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89630542848).

40366986660 is an abundant number, since it is smaller than the sum of its proper divisors (138894099036).

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

40366986660 is a wasteful number, since it uses less digits than its factorization.

40366986660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 40366986660 in words is "forty billion, three hundred sixty-six million, nine hundred eighty-six thousand, six hundred sixty".