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19841131420440 = 233511193832065571
BaseRepresentation
bin1001000001011100111111…
…00101110001101100011000
32121020210102120012110201120
410200232133211301230120
510100034114120423230
6110110520121045240
74115321506254351
oct440563745615430
977223376173646
1019841131420440
11635a63847a8a0
122285416926820
13b0c01a579485
144c845cb04d28
152461a78d9310
hex120b9f971b18

19841131420440 has 256 divisors, whose sum is σ = 68530721587200. Its totient is φ = 4544914982400.

The previous prime is 19841131420433. The next prime is 19841131420469. The reversal of 19841131420440 is 4402413114891.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19841131420392 and 19841131420401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8572855 + ... + 10638425.

It is an arithmetic number, because the mean of its divisors is an integer number (267698131200).

Almost surely, 219841131420440 is an apocalyptic number.

19841131420440 is a gapful number since it is divisible by the number (10) 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 19841131420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34265360793600).

19841131420440 is an abundant number, since it is smaller than the sum of its proper divisors (48689590166760).

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

19841131420440 is a wasteful number, since it uses less digits than its factorization.

19841131420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065998 (or 2065994 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 19841131420440 in words is "nineteen trillion, eight hundred forty-one billion, one hundred thirty-one million, four hundred twenty thousand, four hundred forty".