42276702117888 has 3136 divisors, whose sum is σ = 168327948718080. Its totient is φ = 10319560704000.

The previous prime is 42276702117887. The next prime is 42276702117889. The reversal of 42276702117888 is 88871120767224.

42276702117888 is a `hidden beast` number, since 4 + 2 + 276 + 7 + 0 + 211 + 78 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (42276702117887) and next prime (42276702117889).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42276702117887) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 418581209038 + ... + 418581209138.

Almost surely, 2^{42276702117888} is an apocalyptic number.

42276702117888 is a gapful number since it is divisible by the number (48) 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 42276702117888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84163974359040).

42276702117888 is an abundant number, since it is smaller than the sum of its proper divisors (126051246600192).

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

42276702117888 is a wasteful number, since it uses less digits than its factorization.

42276702117888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 42276702117888 in words is "forty-two trillion, two hundred seventy-six billion, seven hundred two million, one hundred seventeen thousand, eight hundred eighty-eight".