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41401460340 = 22355174611087
BaseRepresentation
bin100110100011101110…
…000010011001110100
310221212100011002200000
4212203232002121310
51134242233212330
631004120551300
72663652415002
oct464356023164
9127770132600
1041401460340
1116616054a29
128035322530
133b9a522936
14200a77da72
151124a69560
hex9a3b82674

41401460340 has 288 divisors, whose sum is σ = 138322888704. Its totient is φ = 10358876160.

The previous prime is 41401460329. The next prime is 41401460413. The reversal of 41401460340 is 4306410414.

41401460340 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 14 + 603 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 38087277 + ... + 38088363.

It is an arithmetic number, because the mean of its divisors is an integer number (480287808).

Almost surely, 241401460340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41401460340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69161444352).

41401460340 is an abundant number, since it is smaller than the sum of its proper divisors (96921428364).

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

41401460340 is a wasteful number, since it uses less digits than its factorization.

41401460340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41401460340 its reverse (4306410414), we get a palindrome (45707870754).

The spelling of 41401460340 in words is "forty-one billion, four hundred one million, four hundred sixty thousand, three hundred forty".