41879073600 has 1680 divisors, whose sum is σ = 195916710528. Its totient is φ = 8539914240.

The previous prime is 41879073581. The next prime is 41879073641. The reversal of 41879073600 is 637097814.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 625060767 + ... + 625060833.

Almost surely, 2^41879073600 is an apocalyptic number.

41879073600 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 41879073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97958355264).

41879073600 is an abundant number, since it is smaller than the sum of its proper divisors (154037636928).

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

41879073600 is a wasteful number, since it uses less digits than its factorization.

41879073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 41879073600 in words is "forty-one billion, eight hundred seventy-nine million, seventy-three thousand, six hundred".