42259776215040 has 2592 divisors, whose sum is σ = 171081349311600. Its totient is φ = 9616301752320.

The previous prime is 42259776215009. The next prime is 42259776215053. The reversal of 42259776215040 is 4051267795224.

It is a happy number.

42259776215040 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 9 + 7 + 7 + 621 + 5 + 0 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 692783216610 + ... + 692783216670.

Almost surely, 2^{42259776215040} is an apocalyptic number.

42259776215040 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 42259776215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85540674655800).

42259776215040 is an abundant number, since it is smaller than the sum of its proper divisors (128821573096560).

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

42259776215040 is a wasteful number, since it uses less digits than its factorization.

42259776215040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 42259776215040 in words is "forty-two trillion, two hundred fifty-nine billion, seven hundred seventy-six million, two hundred fifteen thousand, forty".