42521190380136 has 384 divisors, whose sum is σ = 134237074083840. Its totient is φ = 12511641542400.

The previous prime is 42521190380077. The next prime is 42521190380153. The reversal of 42521190380136 is 63108309112524.

42521190380136 is a `hidden beast` number, since 4 + 2 + 52 + 1 + 1 + 90 + 380 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42521190380091 and 42521190380100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4307683281 + ... + 4307693151.

It is an arithmetic number, because the mean of its divisors is an integer number (349575713760).

Almost surely, 2^{42521190380136} is an apocalyptic number.

42521190380136 is a gapful number since it is divisible by the number (46) 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 42521190380136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67118537041920).

42521190380136 is an abundant number, since it is smaller than the sum of its proper divisors (91715883703704).

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

42521190380136 is a wasteful number, since it uses less digits than its factorization.

42521190380136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17339 (or 17323 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 42521190380136 in words is "forty-two trillion, five hundred twenty-one billion, one hundred ninety million, three hundred eighty thousand, one hundred thirty-six".