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40044048120 = 233251959671481
BaseRepresentation
bin100101010010110011…
…111010111011111000
310211100201221102011100
4211102303322323320
51124002234014440
630221310531400
72615220535656
oct452263727370
9124321842140
1040044048120
1115a8990404a
127916806b60
133a1223583b
141d1c395dd6
1510957d8230
hex952cfaef8

40044048120 has 384 divisors, whose sum is σ = 141489504000. Its totient is φ = 9789880320.

The previous prime is 40044048043. The next prime is 40044048137. The reversal of 40044048120 is 2184044004.

It is a happy number.

It is a congruent number.

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, 27037780 + ... + 27039260.

It is an arithmetic number, because the mean of its divisors is an integer number (368462250).

Almost surely, 240044048120 is an apocalyptic number.

40044048120 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 40044048120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70744752000).

40044048120 is an abundant number, since it is smaller than the sum of its proper divisors (101445455880).

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

40044048120 is a wasteful number, since it uses less digits than its factorization.

40044048120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1636 counting only the distinct ones).

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

The spelling of 40044048120 in words is "forty billion, forty-four million, forty-eight thousand, one hundred twenty".