42249575531520 has 3520 divisors, whose sum is σ = 191945139724800. Its totient is φ = 8668430991360.

The previous prime is 42249575531509. The next prime is 42249575531563. The reversal of 42249575531520 is 2513557594224.

42249575531520 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 9 + 57 + 5 + 531 + 52 + 0 = 666.

It is a super-3 number, since 3×42249575531520³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 319 ways as a sum of consecutive naturals, for example, 97574077224 + ... + 97574077656.

It is an arithmetic number, because the mean of its divisors is an integer number (54529869240).

Almost surely, 2^{42249575531520} is an apocalyptic number.

42249575531520 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 42249575531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95972569862400).

42249575531520 is an abundant number, since it is smaller than the sum of its proper divisors (149695564193280).

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

42249575531520 is a wasteful number, since it uses less digits than its factorization.

42249575531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 42249575531520 in words is "forty-two trillion, two hundred forty-nine billion, five hundred seventy-five million, five hundred thirty-one thousand, five hundred twenty".