41615157043152 has 1440 divisors, whose sum is σ = 152736739500800. Its totient is φ = 10561985280000.

The previous prime is 41615157043147. The next prime is 41615157043181. The reversal of 41615157043152 is 25134075151614.

41615157043152 is a `hidden beast` number, since 4 + 1 + 6 + 15 + 157 + 0 + 431 + 52 = 666.

41615157043152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41615157043098 and 41615157043107.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 76922656002 + ... + 76922656542.

Almost surely, 2^{41615157043152} is an apocalyptic number.

41615157043152 is a gapful number since it is divisible by the number (42) 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 41615157043152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76368369750400).

41615157043152 is an abundant number, since it is smaller than the sum of its proper divisors (111121582457648).

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

41615157043152 is a wasteful number, since it uses less digits than its factorization.

41615157043152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 41615157043152 in words is "forty-one trillion, six hundred fifteen billion, one hundred fifty-seven million, forty-three thousand, one hundred fifty-two".