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404023124040 = 233517597942491
BaseRepresentation
bin1011110000100011010…
…01111010000001001000
31102121212001210020122220
411320101221322001020
523104414404432130
6505334453414040
741122032614424
oct5702151720110
91377761706586
10404023124040
1114638857aaa8
126637663a320
132c139c98103
14157aa615b84
15a799bda410
hex5e11a7a048

404023124040 has 256 divisors, whose sum is σ = 1321671168000. Its totient is φ = 98419077120.

The previous prime is 404023124003. The next prime is 404023124047. The reversal of 404023124040 is 40421320404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 404023124040.

It is not an unprimeable number, because it can be changed into a prime (404023124047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9487195 + ... + 9529685.

It is an arithmetic number, because the mean of its divisors is an integer number (5162778000).

Almost surely, 2404023124040 is an apocalyptic number.

404023124040 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 404023124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660835584000).

404023124040 is an abundant number, since it is smaller than the sum of its proper divisors (917648043960).

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

404023124040 is a wasteful number, since it uses less digits than its factorization.

404023124040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42660 (or 42656 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 404023124040 its reverse (40421320404), we get a palindrome (444444444444).

The spelling of 404023124040 in words is "four hundred four billion, twenty-three million, one hundred twenty-four thousand, forty".