41279673600 has 1296 divisors, whose sum is σ = 177135329280. Its totient is φ = 9405849600.

The previous prime is 41279673557. The next prime is 41279673607. The reversal of 41279673600 is 637697214.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×41279673600² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41279673607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 325036737 + ... + 325036863.

Almost surely, 2^41279673600 is an apocalyptic number.

41279673600 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 41279673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88567664640).

41279673600 is an abundant number, since it is smaller than the sum of its proper divisors (135855655680).

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

41279673600 is a wasteful number, since it uses less digits than its factorization.

41279673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 41279673600 in words is "forty-one billion, two hundred seventy-nine million, six hundred seventy-three thousand, six hundred".