41504155040000 has 1080 divisors, whose sum is σ = 115230486284760. Its totient is φ = 14885240832000.

The previous prime is 41504155039979. The next prime is 41504155040059. The reversal of 41504155040000 is 4055140514.

41504155040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 20 ways, for example, as 30049341865984 + 11454813174016 = 5481728^2 + 3384496^2 .

It is a super-3 number, since 3×41504155040000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90818719772 + ... + 90818720228.

Almost surely, 2^{41504155040000} is an apocalyptic number.

41504155040000 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 41504155040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57615243142380).

41504155040000 is an abundant number, since it is smaller than the sum of its proper divisors (73726331244760).

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

41504155040000 is an equidigital number, since it uses as much as digits as its factorization.

41504155040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 41504155040000 in words is "forty-one trillion, five hundred four billion, one hundred fifty-five million, forty thousand".