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40985457283680 = 25357132193125967
BaseRepresentation
bin10010101000110101010111…
…00111110101001001100000
312101010011121222122220101120
421110122223213311021200
520333001204031034210
6223100243101532240
711430046560536640
oct1124325347651140
9171104558586346
1040985457283680
1112071920169a48
12471b30a874080
1319b3bb1994300
14a199c7334520
154b11d489a270
hex2546ab9f5260

40985457283680 has 3456 divisors, whose sum is σ = 179362758758400. Its totient is φ = 7677382901760.

The previous prime is 40985457283607. The next prime is 40985457283709. The reversal of 40985457283680 is 8638275458904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 611723243007 + ... + 611723243073.

It is an arithmetic number, because the mean of its divisors is an integer number (51898946400).

Almost surely, 240985457283680 is an apocalyptic number.

40985457283680 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 40985457283680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89681379379200).

40985457283680 is an abundant number, since it is smaller than the sum of its proper divisors (138377301474720).

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

40985457283680 is a wasteful number, since it uses less digits than its factorization.

40985457283680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 464486400, while the sum is 69.

The spelling of 40985457283680 in words is "forty trillion, nine hundred eighty-five billion, four hundred fifty-seven million, two hundred eighty-three thousand, six hundred eighty".