41724791280 has 240 divisors, whose sum is σ = 151635294720. Its totient is φ = 10642731264.

The previous prime is 41724791263. The next prime is 41724791291. The reversal of 41724791280 is 8219742714.

41724791280 is a `hidden beast` number, since 4 + 172 + 479 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 400461 + ... + 493779.

It is an arithmetic number, because the mean of its divisors is an integer number (631813728).

Almost surely, 2^41724791280 is an apocalyptic number.

41724791280 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 41724791280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75817647360).

41724791280 is an abundant number, since it is smaller than the sum of its proper divisors (109910503440).

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

41724791280 is a wasteful number, since it uses less digits than its factorization.

41724791280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93370 (or 93352 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 41724791280 in words is "forty-one billion, seven hundred twenty-four million, seven hundred ninety-one thousand, two hundred eighty".