41400607621888 has 144 divisors (see below), whose sum is σ = 85180725374976. Its totient is φ = 20071246970880.

The previous prime is 41400607621799. The next prime is 41400607621943. The reversal of 41400607621888 is 88812670600414.

It is a super-2 number, since 2×41400607621888² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023910920 + ... + 1023951352.

It is an arithmetic number, because the mean of its divisors is an integer number (591532815104).

Almost surely, 2^{41400607621888} 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 41400607621888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42590362687488).

41400607621888 is an abundant number, since it is smaller than the sum of its proper divisors (43780117753088).

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

41400607621888 is a wasteful number, since it uses less digits than its factorization.

41400607621888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41170 (or 41156 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 55.

The spelling of 41400607621888 in words is "forty-one trillion, four hundred billion, six hundred seven million, six hundred twenty-one thousand, eight hundred eighty-eight".