41301755040 has 768 divisors, whose sum is σ = 170698752000. Its totient is φ = 8325402624.

The previous prime is 41301755009. The next prime is 41301755069. The reversal of 41301755040 is 4055710314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41301754989 and 41301755007.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49226941 + ... + 49227779.

It is an arithmetic number, because the mean of its divisors is an integer number (222264000).

Almost surely, 2^41301755040 is an apocalyptic number.

41301755040 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 41301755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85349376000).

41301755040 is an abundant number, since it is smaller than the sum of its proper divisors (129396996960).

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

41301755040 is a wasteful number, since it uses less digits than its factorization.

41301755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 41301755040 in words is "forty-one billion, three hundred one million, seven hundred fifty-five thousand, forty".