42276003840 has 896 divisors, whose sum is σ = 177156587520. Its totient is φ = 9364045824.

The previous prime is 42276003839. The next prime is 42276003841. The reversal of 42276003840 is 4830067224.

42276003840 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 600 + 3 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (42276003839) and next prime (42276003841).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42276003795 and 42276003804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42276003841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332881857 + ... + 332881983.

Almost surely, 2^42276003840 is an apocalyptic number.

42276003840 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 42276003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88578293760).

42276003840 is an abundant number, since it is smaller than the sum of its proper divisors (134880583680).

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

42276003840 is a wasteful number, since it uses less digits than its factorization.

42276003840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42276003840 in words is "forty-two billion, two hundred seventy-six million, three thousand, eight hundred forty".