42040919531520 has 2240 divisors, whose sum is σ = 196431224242176. Its totient is φ = 8347377991680.

The previous prime is 42040919531509. The next prime is 42040919531543. The reversal of 42040919531520 is 2513591904024.

It is a happy number.

42040919531520 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 0 + 9 + 1 + 95 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 159 ways as a sum of consecutive naturals, for example, 5132570625 + ... + 5132578815.

Almost surely, 2^{42040919531520} is an apocalyptic number.

42040919531520 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 42040919531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98215612121088).

42040919531520 is an abundant number, since it is smaller than the sum of its proper divisors (154390304710656).

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

42040919531520 is a wasteful number, since it uses less digits than its factorization.

42040919531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 42040919531520 in words is "forty-two trillion, forty billion, nine hundred nineteen million, five hundred thirty-one thousand, five hundred twenty".