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41987098440 = 23345721747331
BaseRepresentation
bin100111000110101000…
…000100011101001000
311000101011010121010000
4213012220010131020
51141442144122230
631142201123000
73014323306500
oct470650043510
9130334117100
1041987098440
1116896693561
128179489460
133c61960461
142064468a00
15115b19bb60
hex9c6a04748

41987098440 has 960 divisors, whose sum is σ = 178055159040. Its totient is φ = 8813629440.

The previous prime is 41987098409. The next prime is 41987098501. The reversal of 41987098440 is 4489078914.

41987098440 is a `hidden beast` number, since 4 + 198 + 7 + 0 + 9 + 8 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 126849075 + ... + 126849405.

It is an arithmetic number, because the mean of its divisors is an integer number (185474124).

Almost surely, 241987098440 is an apocalyptic number.

41987098440 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 41987098440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89027579520).

41987098440 is an abundant number, since it is smaller than the sum of its proper divisors (136068060600).

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

41987098440 is a wasteful number, since it uses less digits than its factorization.

41987098440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 41987098440 in words is "forty-one billion, nine hundred eighty-seven million, ninety-eight thousand, four hundred forty".