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400404789063840 = 2535111063278925579
BaseRepresentation
bin101101100001010101000000…
…1001101111111000010100000
31221111201022202012022010200110
41123002222001031333002200
5404440213002000020330
63535331230513251320
7150224201640124521
oct13302520115770240
91844638665263613
10400404789063840
111066437989935a0
1238aa9169863b40
1314256018101982
1470c39a3880848
1531456aa1b3db0
hex16c2a8137f0a0

400404789063840 has 384 divisors, whose sum is σ = 1377778516531200. Its totient is φ = 96937951703040.

The previous prime is 400404789063809. The next prime is 400404789063913. The reversal of 400404789063840 is 48360987404004.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15653640171 + ... + 15653665749.

It is an arithmetic number, because the mean of its divisors is an integer number (3587964886800).

Almost surely, 2400404789063840 is an apocalyptic number.

400404789063840 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 400404789063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688889258265600).

400404789063840 is an abundant number, since it is smaller than the sum of its proper divisors (977373727467360).

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

400404789063840 is a wasteful number, since it uses less digits than its factorization.

400404789063840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29460 (or 29452 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 400404789063840 in words is "four hundred trillion, four hundred four billion, seven hundred eighty-nine million, sixty-three thousand, eight hundred forty".