42906664120320 has 5616 divisors, whose sum is σ = 216131628847680. Its totient is φ = 7946061742080.

The previous prime is 42906664120301. The next prime is 42906664120423. The reversal of 42906664120320 is 2302146660924.

It is a tau number, because it is divible by the number of its divisors (5616).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 431 ways as a sum of consecutive naturals, for example, 1479540142066 + ... + 1479540142094.

Almost surely, 2^{42906664120320} is an apocalyptic number.

42906664120320 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 42906664120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108065814423840).

42906664120320 is an abundant number, since it is smaller than the sum of its proper divisors (173224964727360).

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

42906664120320 is an equidigital number, since it uses as much as digits as its factorization.

42906664120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 42906664120320 in words is "forty-two trillion, nine hundred six billion, six hundred sixty-four million, one hundred twenty thousand, three hundred twenty".