41461374240 has 1152 divisors, whose sum is σ = 176536039680. Its totient is φ = 8722022400.

The previous prime is 41461374209. The next prime is 41461374257. The reversal of 41461374240 is 4247316414.

41461374240 is a `hidden beast` number, since 4 + 1 + 46 + 1 + 374 + 240 = 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 = 41461374195 and 41461374204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 316498975 + ... + 316499105.

It is an arithmetic number, because the mean of its divisors is an integer number (153243090).

Almost surely, 2^41461374240 is an apocalyptic number.

41461374240 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 41461374240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88268019840).

41461374240 is an abundant number, since it is smaller than the sum of its proper divisors (135074665440).

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

41461374240 is a wasteful number, since it uses less digits than its factorization.

41461374240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 41461374240 in words is "forty-one billion, four hundred sixty-one million, three hundred seventy-four thousand, two hundred forty".