41726874240 has 384 divisors, whose sum is σ = 149048499600. Its totient is φ = 10749542400.

The previous prime is 41726874223. The next prime is 41726874251. The reversal of 41726874240 is 4247862714.

It can be written as a sum of positive squares in 8 ways, for example, as 16308311616 + 25418562624 = 127704^2 + 159432^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×41726874240² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25740630 + ... + 25742250.

Almost surely, 2^41726874240 is an apocalyptic number.

41726874240 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 41726874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74524249800).

41726874240 is an abundant number, since it is smaller than the sum of its proper divisors (107321625360).

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

41726874240 is a wasteful number, since it uses less digits than its factorization.

41726874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 41726874240 in words is "forty-one billion, seven hundred twenty-six million, eight hundred seventy-four thousand, two hundred forty".