42219865239552 has 3510 divisors, whose sum is σ = 175998858989184. Its totient is φ = 10042939146240.

The previous prime is 42219865239389. The next prime is 42219865239571. The reversal of 42219865239552 is 25593256891224.

It is a happy number.

42219865239552 is a `hidden beast` number, since 4 + 2 + 2 + 19 + 8 + 6 + 523 + 95 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (93312000) is a multiple of the sum of its prime factors (225).

It is a self number, because there is not a number n which added to its sum of digits gives 42219865239552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 332439883713 + ... + 332439883839.

Almost surely, 2^{42219865239552} is an apocalyptic number.

42219865239552 is a gapful number since it is divisible by the number (42) 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 42219865239552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87999429494592).

42219865239552 is an abundant number, since it is smaller than the sum of its proper divisors (133778993749632).

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

42219865239552 is a wasteful number, since it uses less digits than its factorization.

42219865239552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 163 counting only the distinct ones).

The product of its digits is 93312000, while the sum is 63.

The spelling of 42219865239552 in words is "forty-two trillion, two hundred nineteen billion, eight hundred sixty-five million, two hundred thirty-nine thousand, five hundred fifty-two".