42526446362400 has 6912 divisors, whose sum is σ = 210556379529216. Its totient is φ = 7226081280000.

The previous prime is 42526446362371. The next prime is 42526446362459. The reversal of 42526446362400 is 426364462524.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42526446362400.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 697154858370 + ... + 697154858430.

It is an arithmetic number, because the mean of its divisors is an integer number (30462439168).

Almost surely, 2^{42526446362400} is an apocalyptic number.

42526446362400 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 42526446362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105278189764608).

42526446362400 is an abundant number, since it is smaller than the sum of its proper divisors (168029933166816).

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

42526446362400 is a wasteful number, since it uses less digits than its factorization.

42526446362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 42526446362400 in words is "forty-two trillion, five hundred twenty-six billion, four hundred forty-six million, three hundred sixty-two thousand, four hundred".