42147181440 has 1024 divisors, whose sum is σ = 187810560000. Its totient is φ = 8876335104.

The previous prime is 42147181411. The next prime is 42147181543. The reversal of 42147181440 is 4418174124.

42147181440 is a `hidden beast` number, since 42 + 1 + 471 + 8 + 144 + 0 = 666.

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 = 42147181395 and 42147181404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77051247 + ... + 77051793.

It is an arithmetic number, because the mean of its divisors is an integer number (183408750).

Almost surely, 2^42147181440 is an apocalyptic number.

42147181440 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 42147181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93905280000).

42147181440 is an abundant number, since it is smaller than the sum of its proper divisors (145663378560).

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

42147181440 is a wasteful number, since it uses less digits than its factorization.

42147181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 42147181440 in words is "forty-two billion, one hundred forty-seven million, one hundred eighty-one thousand, four hundred forty".