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5440418463744 = 214321121013019
BaseRepresentation
bin100111100101011001000…
…1101011100000000000000
3201021002200010011012020200
41033022302031130000000
51203113434111314434
615323143240405200
71101025432635645
oct117126215340000
921232603135220
105440418463744
1118082a5433a00
1273a481176800
1330604c38c534
1414b463925dcc
15967b7711199
hex4f2b235c000

5440418463744 has 540 divisors, whose sum is σ = 17451742209720. Its totient is φ = 1631748096000.

The previous prime is 5440418463743. The next prime is 5440418463757. The reversal of 5440418463744 is 4473648140445.

It is a happy number.

5440418463744 is a `hidden beast` number, since 54 + 40 + 4 + 184 + 6 + 374 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440418463743) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1802058267 + ... + 1802061285.

Almost surely, 25440418463744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5440418463744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8725871104860).

5440418463744 is an abundant number, since it is smaller than the sum of its proper divisors (12011323745976).

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

5440418463744 is a wasteful number, since it uses less digits than its factorization.

5440418463744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3176 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 5440418463744 in words is "five trillion, four hundred forty billion, four hundred eighteen million, four hundred sixty-three thousand, seven hundred forty-four".