41438087249920 has 128 divisors (see below), whose sum is σ = 99727052644800. Its totient is φ = 16529040867328.

The previous prime is 41438087249879. The next prime is 41438087249941. The reversal of 41438087249920 is 2994278083414.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58466307 + ... + 59170813.

Almost surely, 2^{41438087249920} is an apocalyptic number.

41438087249920 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 41438087249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49863526322400).

41438087249920 is an abundant number, since it is smaller than the sum of its proper divisors (58288965394880).

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

41438087249920 is an frugal number, since it uses more digits than its factorization.

41438087249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704901 (or 704873 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 61.

The spelling of 41438087249920 in words is "forty-one trillion, four hundred thirty-eight billion, eighty-seven million, two hundred forty-nine thousand, nine hundred twenty".