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41054441400 = 233252711172917
BaseRepresentation
bin100110001111000010…
…010000111110111000
310220222011011201011200
4212033002100332320
51133034414111100
630505443054200
72652236664660
oct461702207670
9126864151150
1041054441400
1116458186515
127b59071360
133b4367159b
141db664b1a0
15110436de00
hex98f090fb8

41054441400 has 288 divisors, whose sum is σ = 157765988640. Its totient is φ = 9372257280.

The previous prime is 41054441383. The next prime is 41054441429. The reversal of 41054441400 is 414445014.

41054441400 is a `hidden beast` number, since 41 + 0 + 544 + 41 + 40 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 14072742 + ... + 14075658.

Almost surely, 241054441400 is an apocalyptic number.

41054441400 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 41054441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78882994320).

41054441400 is an abundant number, since it is smaller than the sum of its proper divisors (116711547240).

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

41054441400 is a wasteful number, since it uses less digits than its factorization.

41054441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4051 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 41054441400 its reverse (414445014), we get a palindrome (41468886414).

The spelling of 41054441400 in words is "forty-one billion, fifty-four million, four hundred forty-one thousand, four hundred".