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44404111440 = 24335133779541
BaseRepresentation
bin101001010110101100…
…001111100001010000
311020121121011120122000
4221112230033201100
51211414423031230
632222102114000
73131242501563
oct512654174120
9136547146560
1044404111440
1117916a66167
128732a1b900
134258624a70
1422134764da
15124d483b60
hexa56b0f850

44404111440 has 640 divisors, whose sum is σ = 171622348800. Its totient is φ = 10480803840.

The previous prime is 44404111429. The next prime is 44404111447. The reversal of 44404111440 is 4411140444.

It is a super-2 number, since 2×444041114402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44404111447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82077570 + ... + 82078110.

It is an arithmetic number, because the mean of its divisors is an integer number (268159920).

Almost surely, 244404111440 is an apocalyptic number.

44404111440 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 44404111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85811174400).

44404111440 is an abundant number, since it is smaller than the sum of its proper divisors (127218237360).

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

44404111440 is a wasteful number, since it uses less digits than its factorization.

44404111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 44404111440 its reverse (4411140444), we get a palindrome (48815251884).

The spelling of 44404111440 in words is "forty-four billion, four hundred four million, one hundred eleven thousand, four hundred forty".