42102300240 has 480 divisors, whose sum is σ = 189846349056. Its totient is φ = 8075427840.

The previous prime is 42102300209. The next prime is 42102300269. The reversal of 42102300240 is 4200320124.

42102300240 is a `hidden beast` number, since 421 + 0 + 2 + 3 + 0 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 691512 + ... + 749928.

Almost surely, 2^42102300240 is an apocalyptic number.

42102300240 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 42102300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94923174528).

42102300240 is an abundant number, since it is smaller than the sum of its proper divisors (147744048816).

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

42102300240 is a wasteful number, since it uses less digits than its factorization.

42102300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58467 (or 58458 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42102300240 its reverse (4200320124), we get a palindrome (46302620364).

The spelling of 42102300240 in words is "forty-two billion, one hundred two million, three hundred thousand, two hundred forty".