42495418494144 has 3528 divisors, whose sum is σ = 175953749769216. Its totient is φ = 10052501760000.

The previous prime is 42495418494103. The next prime is 42495418494167. The reversal of 42495418494144 is 44149481459424.

42495418494144 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 541 + 8 + 4 + 9 + 41 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (3528).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 281426612469 + ... + 281426612619.

Almost surely, 2^{42495418494144} is an apocalyptic number.

42495418494144 is a gapful number since it is divisible by the number (44) 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 42495418494144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87976874884608).

42495418494144 is an abundant number, since it is smaller than the sum of its proper divisors (133458331275072).

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

42495418494144 is a wasteful number, since it uses less digits than its factorization.

42495418494144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 224 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 42495418494144 in words is "forty-two trillion, four hundred ninety-five billion, four hundred eighteen million, four hundred ninety-four thousand, one hundred forty-four".