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42630544440 = 233251140926321
BaseRepresentation
bin100111101100111110…
…100111110000111000
311002000222220001002100
4213230332213300320
51144301404410230
631330104303400
73036265435401
oct475476476070
9132028801070
1042630544440
1117096916010
128318a71b60
13403505b233
1420c5ac09a8
1511978ec660
hex9ecfa7c38

42630544440 has 192 divisors, whose sum is σ = 151519960800. Its totient is φ = 10309017600.

The previous prime is 42630544403. The next prime is 42630544441. The reversal of 42630544440 is 4444503624.

42630544440 is a `hidden beast` number, since 42 + 6 + 30 + 544 + 4 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42630544395 and 42630544404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42630544441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606480 + ... + 1632800.

Almost surely, 242630544440 is an apocalyptic number.

42630544440 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 42630544440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75759980400).

42630544440 is an abundant number, since it is smaller than the sum of its proper divisors (108889416360).

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

42630544440 is a wasteful number, since it uses less digits than its factorization.

42630544440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26758 (or 26751 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

The spelling of 42630544440 in words is "forty-two billion, six hundred thirty million, five hundred forty-four thousand, four hundred forty".