42281533440 has 544 divisors, whose sum is σ = 154768636800. Its totient is φ = 11083972608.

The previous prime is 42281533429. The next prime is 42281533451. The reversal of 42281533440 is 4433518224.

42281533440 is a `hidden beast` number, since 4 + 2 + 2 + 81 + 533 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (42281533429) and next prime (42281533451).

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 = 42281533395 and 42281533404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716636131 + ... + 716636189.

Almost surely, 2^42281533440 is an apocalyptic number.

42281533440 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 42281533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77384318400).

42281533440 is an abundant number, since it is smaller than the sum of its proper divisors (112487103360).

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

42281533440 is an frugal number, since it uses more digits than its factorization.

42281533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 42281533440 in words is "forty-two billion, two hundred eighty-one million, five hundred thirty-three thousand, four hundred forty".