42741135360 has 1152 divisors, whose sum is σ = 195018969600. Its totient is φ = 8387297280.

The previous prime is 42741135329. The next prime is 42741135383. The reversal of 42741135360 is 6353114724.

42741135360 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 113 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 134829922 + ... + 134830238.

It is an arithmetic number, because the mean of its divisors is an integer number (169287300).

Almost surely, 2^42741135360 is an apocalyptic number.

42741135360 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 42741135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97509484800).

42741135360 is an abundant number, since it is smaller than the sum of its proper divisors (152277834240).

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

42741135360 is a wasteful number, since it uses less digits than its factorization.

42741135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 42741135360 in words is "forty-two billion, seven hundred forty-one million, one hundred thirty-five thousand, three hundred sixty".