42982930609920 has 2880 divisors, whose sum is σ = 186087622296576. Its totient is φ = 9270405365760.

The previous prime is 42982930609891. The next prime is 42982930609937. The reversal of 42982930609920 is 2990603928924.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 127545787992 + ... + 127545788328.

Almost surely, 2^{42982930609920} is an apocalyptic number.

42982930609920 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 42982930609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93043811148288).

42982930609920 is an abundant number, since it is smaller than the sum of its proper divisors (143104691686656).

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

42982930609920 is a wasteful number, since it uses less digits than its factorization.

42982930609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 63.

The spelling of 42982930609920 in words is "forty-two trillion, nine hundred eighty-two billion, nine hundred thirty million, six hundred nine thousand, nine hundred twenty".