42322590720000 has 3920 divisors, whose sum is σ = 181246499929440. Its totient is φ = 9809952768000.

The previous prime is 42322590719957. The next prime is 42322590720013. The reversal of 42322590720000 is 2709522324.

42322590720000 is a `hidden beast` number, since 4 + 23 + 22 + 590 + 7 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 1459399679986 + ... + 1459399680014.

Almost surely, 2^{42322590720000} is an apocalyptic number.

42322590720000 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 42322590720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90623249964720).

42322590720000 is an abundant number, since it is smaller than the sum of its proper divisors (138923909209440).

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

42322590720000 is an frugal number, since it uses more digits than its factorization.

42322590720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 42322590720000 in words is "forty-two trillion, three hundred twenty-two billion, five hundred ninety million, seven hundred twenty thousand".