41619869032896 has 3150 divisors, whose sum is σ = 171988587635040. Its totient is φ = 9911022105600.

The previous prime is 41619869032849. The next prime is 41619869032901. The reversal of 41619869032896 is 69823096891614.

41619869032896 is a `hidden beast` number, since 41 + 6 + 1 + 98 + 6 + 90 + 328 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 1342576420401 + ... + 1342576420431.

Almost surely, 2^{41619869032896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41619869032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85994293817520).

41619869032896 is an abundant number, since it is smaller than the sum of its proper divisors (130368718602144).

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

41619869032896 is an equidigital number, since it uses as much as digits as its factorization.

41619869032896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 41619869032896 in words is "forty-one trillion, six hundred nineteen billion, eight hundred sixty-nine million, thirty-two thousand, eight hundred ninety-six".