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40104343680 = 27351779103151
BaseRepresentation
bin100101010110011001…
…111011100010000000
310211111221101202010020
4211112121323202000
51124113202444210
630231303133440
72616552203532
oct452631734200
9124457352106
1040104343680
111600a946a95
127932a44280
133a2188719b
141d263ad852
15109ac48770
hex95667b880

40104343680 has 512 divisors, whose sum is σ = 139312742400. Its totient is φ = 9776332800.

The previous prime is 40104343679. The next prime is 40104343703. The reversal of 40104343680 is 8634340104.

It is a happy 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, 265591605 + ... + 265591755.

It is an arithmetic number, because the mean of its divisors is an integer number (272095200).

Almost surely, 240104343680 is an apocalyptic number.

40104343680 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 40104343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69656371200).

40104343680 is an abundant number, since it is smaller than the sum of its proper divisors (99208398720).

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

40104343680 is a wasteful number, since it uses less digits than its factorization.

40104343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 40104343680 its reverse (8634340104), we get a palindrome (48738683784).

The spelling of 40104343680 in words is "forty billion, one hundred four million, three hundred forty-three thousand, six hundred eighty".