41342970240 has 1152 divisors, whose sum is σ = 176287456800. Its totient is φ = 9251573760.

The previous prime is 41342970217. The next prime is 41342970247. The reversal of 41342970240 is 4207924314.

41342970240 is a `hidden beast` number, since 4 + 1 + 342 + 9 + 70 + 240 = 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 junction number, because it is equal to n+sod(n) for n = 41342970195 and 41342970204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41342970247) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3180228474 + ... + 3180228486.

Almost surely, 2^41342970240 is an apocalyptic number.

41342970240 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 41342970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88143728400).

41342970240 is an abundant number, since it is smaller than the sum of its proper divisors (134944486560).

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

41342970240 is an equidigital number, since it uses as much as digits as its factorization.

41342970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 41342970240 in words is "forty-one billion, three hundred forty-two million, nine hundred seventy thousand, two hundred forty".