42890487966720 has 1760 divisors, whose sum is σ = 169489241856000. Its totient is φ = 10335057739776.

The previous prime is 42890487966701. The next prime is 42890487966737. The reversal of 42890487966720 is 2766978409824.

42890487966720 is a `hidden beast` number, since 4 + 2 + 89 + 0 + 487 + 9 + 6 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13001055631 + ... + 13001058929.

It is an arithmetic number, because the mean of its divisors is an integer number (96300705600).

Almost surely, 2^{42890487966720} is an apocalyptic number.

42890487966720 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 42890487966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84744620928000).

42890487966720 is an abundant number, since it is smaller than the sum of its proper divisors (126598753889280).

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

42890487966720 is a wasteful number, since it uses less digits than its factorization.

42890487966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 42890487966720 in words is "forty-two trillion, eight hundred ninety billion, four hundred eighty-seven million, nine hundred sixty-six thousand, seven hundred twenty".