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42018324480 = 214335112157
BaseRepresentation
bin100111001000011111…
…001100000000000000
311000110022220001012000
4213020133030000000
51142023142340410
631145234304000
73015152602506
oct471037140000
9130408801160
1042018324480
1116902281100
128187a28000
133c682744c2
142068676676
15115dcb8dc0
hex9c87cc000

42018324480 has 720 divisors, whose sum is σ = 165255777120. Its totient is φ = 10121379840.

The previous prime is 42018324419. The next prime is 42018324493. The reversal of 42018324480 is 8442381024.

42018324480 is a `hidden beast` number, since 4 + 201 + 8 + 3 + 2 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267632562 + ... + 267632718.

Almost surely, 242018324480 is an apocalyptic number.

42018324480 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 42018324480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82627888560).

42018324480 is an abundant number, since it is smaller than the sum of its proper divisors (123237452640).

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

42018324480 is a wasteful number, since it uses less digits than its factorization.

42018324480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 42018324480 in words is "forty-two billion, eighteen million, three hundred twenty-four thousand, four hundred eighty".