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4397118949440 = 2632572953141907
BaseRepresentation
bin111111111111001000101…
…101101000100001000000
3120120100201210001112112200
4333333020231220201000
51034020244422340230
613204001503153200
7632452464245610
oct77771055504100
916510653045480
104397118949440
111445898018048
125b02362a5800
1325b85359c219
14112b70a20a40
15795a49a9160
hex3ffc8b68840

4397118949440 has 672 divisors, whose sum is σ = 18218398798080. Its totient is φ = 952082546688.

The previous prime is 4397118949429. The next prime is 4397118949481. The reversal of 4397118949440 is 449498117934.

4397118949440 is a `hidden beast` number, since 4 + 3 + 9 + 7 + 1 + 189 + 4 + 9 + 440 = 666.

4397118949440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 30914967 + ... + 31056873.

Almost surely, 24397118949440 is an apocalyptic number.

4397118949440 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 4397118949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9109199399040).

4397118949440 is an abundant number, since it is smaller than the sum of its proper divisors (13821279848640).

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

4397118949440 is a wasteful number, since it uses less digits than its factorization.

4397118949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142019 (or 142006 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 4397118949440 in words is "four trillion, three hundred ninety-seven billion, one hundred eighteen million, nine hundred forty-nine thousand, four hundred forty".