41239074240 has 1344 divisors, whose sum is σ = 186800947200. Its totient is φ = 8486166528.

The previous prime is 41239074211. The next prime is 41239074241. The reversal of 41239074240 is 4247093214.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×41239074240² (a number of 22 digits) contains 22 as substring.

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 = 41239074195 and 41239074204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41239074241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324717057 + ... + 324717183.

It is an arithmetic number, because the mean of its divisors is an integer number (138988800).

Almost surely, 2^41239074240 is an apocalyptic number.

41239074240 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 41239074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93400473600).

41239074240 is an abundant number, since it is smaller than the sum of its proper divisors (145561872960).

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

41239074240 is a wasteful number, since it uses less digits than its factorization.

41239074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

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

The spelling of 41239074240 in words is "forty-one billion, two hundred thirty-nine million, seventy-four thousand, two hundred forty".