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40998388200 = 233527211331383
BaseRepresentation
bin100110001011101100…
…011100000111101000
310220211020200220122020
4212023230130013220
51132431041410300
630500121424440
72650656356400
oct461354340750
9126736626566
1040998388200
1116429580960
127b4233b120
133b34b76c03
141dad019800
1510ee49a8a0
hex98bb1c1e8

40998388200 has 576 divisors, whose sum is σ = 162195333120. Its totient is φ = 8471232000.

The previous prime is 40998388199. The next prime is 40998388247. The reversal of 40998388200 is 288389904.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 107045209 + ... + 107045591.

It is an arithmetic number, because the mean of its divisors is an integer number (281589120).

Almost surely, 240998388200 is an apocalyptic number.

40998388200 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 40998388200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81097666560).

40998388200 is an abundant number, since it is smaller than the sum of its proper divisors (121196944920).

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

40998388200 is a wasteful number, since it uses less digits than its factorization.

40998388200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 40998388200 in words is "forty billion, nine hundred ninety-eight million, three hundred eighty-eight thousand, two hundred".