42597869323776 has 1280 divisors, whose sum is σ = 135910234521600. Its totient is φ = 11771107246080.

The previous prime is 42597869323727. The next prime is 42597869323837. The reversal of 42597869323776 is 67732396879524.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 335416293825 + ... + 335416293951.

It is an arithmetic number, because the mean of its divisors is an integer number (106179870720).

Almost surely, 2^{42597869323776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42597869323776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67955117260800).

42597869323776 is an abundant number, since it is smaller than the sum of its proper divisors (93312365197824).

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

42597869323776 is a wasteful number, since it uses less digits than its factorization.

42597869323776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 274 counting only the distinct ones).

The product of its digits is 5761082880, while the sum is 78.

The spelling of 42597869323776 in words is "forty-two trillion, five hundred ninety-seven billion, eight hundred sixty-nine million, three hundred twenty-three thousand, seven hundred seventy-six".