42115905749904 has 240 divisors, whose sum is σ = 131252122755072. Its totient is φ = 11397955938048.

The previous prime is 42115905749899. The next prime is 42115905749909. The reversal of 42115905749904 is 40994750951124.

It is an interprime number because it is at equal distance from previous prime (42115905749899) and next prime (42115905749909).

It is not an unprimeable number, because it can be changed into a prime (42115905749909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 861541047 + ... + 861589929.

Almost surely, 2^{42115905749904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42115905749904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65626061377536).

42115905749904 is an abundant number, since it is smaller than the sum of its proper divisors (89136217005168).

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

42115905749904 is a wasteful number, since it uses less digits than its factorization.

42115905749904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56042 (or 56017 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 42115905749904 in words is "forty-two trillion, one hundred fifteen billion, nine hundred five million, seven hundred forty-nine thousand, nine hundred four".