42094330780320 has 1536 divisors, whose sum is σ = 182968578293760. Its totient is φ = 8801506344960.

The previous prime is 42094330780277. The next prime is 42094330780351. The reversal of 42094330780320 is 2308703349024.

42094330780320 is a `hidden beast` number, since 4 + 209 + 4 + 330 + 7 + 80 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 27639087079 + ... + 27639088601.

It is an arithmetic number, because the mean of its divisors is an integer number (119120168160).

Almost surely, 2^{42094330780320} is an apocalyptic number.

42094330780320 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 42094330780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91484289146880).

42094330780320 is an abundant number, since it is smaller than the sum of its proper divisors (140874247513440).

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

42094330780320 is a wasteful number, since it uses less digits than its factorization.

42094330780320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 42094330780320 in words is "forty-two trillion, ninety-four billion, three hundred thirty million, seven hundred eighty thousand, three hundred twenty".