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40811211804 = 2231119101367439
BaseRepresentation
bin100110000000100010…
…011010110000011100
310220100012111100220010
4212000202122300130
51132040132234204
630425353523220
72643224401536
oct460042326034
9126305440803
1040811211804
1116342957520
127aab713510
133b0515c74c
141d92214856
1510dcd25d89
hex98089ac1c

40811211804 has 192 divisors, whose sum is σ = 110986444800. Its totient is φ = 11542176000.

The previous prime is 40811211787. The next prime is 40811211811.

40811211804 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92963817 + ... + 92964255.

It is an arithmetic number, because the mean of its divisors is an integer number (578054400).

Almost surely, 240811211804 is an apocalyptic number.

40811211804 is a gapful number since it is divisible by the number (44) 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 40811211804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55493222400).

40811211804 is an abundant number, since it is smaller than the sum of its proper divisors (70175232996).

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

40811211804 is a wasteful number, since it uses less digits than its factorization.

40811211804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 40811211804 in words is "forty billion, eight hundred eleven million, two hundred eleven thousand, eight hundred four".