41874735240 has 320 divisors, whose sum is σ = 160490982960. Its totient is φ = 9701130240.

The previous prime is 41874735233. The next prime is 41874735269. The reversal of 41874735240 is 4253747814.

41874735240 is a `hidden beast` number, since 4 + 1 + 87 + 47 + 3 + 524 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28756698084 + 13118037156 = 169578^2 + 114534^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 686800 + ... + 745280.

Almost surely, 2^41874735240 is an apocalyptic number.

41874735240 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 41874735240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80245491480).

41874735240 is an abundant number, since it is smaller than the sum of its proper divisors (118616247720).

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

41874735240 is a wasteful number, since it uses less digits than its factorization.

41874735240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58534 (or 58521 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 41874735240 in words is "forty-one billion, eight hundred seventy-four million, seven hundred thirty-five thousand, two hundred forty".