42150495191040 has 340 divisors, whose sum is σ = 151116273130944. Its totient is φ = 11240124973056.

The previous prime is 42150495191009. The next prime is 42150495191087. The reversal of 42150495191040 is 4019159405124.

42150495191040 is a `hidden beast` number, since 4 + 2 + 1 + 50 + 49 + 519 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25748049 + ... + 27336111.

Almost surely, 2^{42150495191040} is an apocalyptic number.

42150495191040 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 42150495191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75558136565472).

42150495191040 is an abundant number, since it is smaller than the sum of its proper divisors (108965777939904).

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

42150495191040 is an frugal number, since it uses more digits than its factorization.

42150495191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588112 (or 1588073 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 42150495191040 in words is "forty-two trillion, one hundred fifty billion, four hundred ninety-five million, one hundred ninety-one thousand, forty".