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41420574720 = 21235572941
BaseRepresentation
bin100110100100110110…
…111101000000000000
310221220200010012200000
4212210312331000000
51134312131342340
631010042400000
72664304035030
oct464466750000
9127820105600
1041420574720
111662591a938
12803b800000
133ba1485c15
14200d1178c0
151126592d30
hex9a4dbd000

41420574720 has 1248 divisors, whose sum is σ = 180322571520. Its totient is φ = 8918138880.

The previous prime is 41420574659. The next prime is 41420574733. The reversal of 41420574720 is 2747502414.

41420574720 is a `hidden beast` number, since 4 + 14 + 2 + 0 + 574 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1010257900 + ... + 1010257940.

It is an arithmetic number, because the mean of its divisors is an integer number (144489240).

Almost surely, 241420574720 is an apocalyptic number.

41420574720 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 41420574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90161285760).

41420574720 is an abundant number, since it is smaller than the sum of its proper divisors (138901996800).

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

41420574720 is an equidigital number, since it uses as much as digits as its factorization.

41420574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 41420574720 in words is "forty-one billion, four hundred twenty million, five hundred seventy-four thousand, seven hundred twenty".