42531590448900 has 1152 divisors, whose sum is σ = 167047108300800. Its totient is φ = 9062013542400.

The previous prime is 42531590448889. The next prime is 42531590448929. The reversal of 42531590448900 is 984409513524.

It is a happy number.

42531590448900 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 1 + 590 + 4 + 48 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×42531590448900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24429402030 + ... + 24429403770.

It is an arithmetic number, because the mean of its divisors is an integer number (145006170400).

Almost surely, 2^{42531590448900} 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 42531590448900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83523554150400).

42531590448900 is an abundant number, since it is smaller than the sum of its proper divisors (124515517851900).

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

42531590448900 is a wasteful number, since it uses less digits than its factorization.

42531590448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 42531590448900 in words is "forty-two trillion, five hundred thirty-one billion, five hundred ninety million, four hundred forty-eight thousand, nine hundred".