41002491953280 has 512 divisors, whose sum is σ = 155836072627200. Its totient is φ = 9038432747520.

The previous prime is 41002491953231. The next prime is 41002491953393. The reversal of 41002491953280 is 8235919420014.

It is a happy number.

It is a super-2 number, since 2×41002491953280² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17281051 + ... + 19509989.

It is an arithmetic number, because the mean of its divisors is an integer number (304367329350).

Almost surely, 2^{41002491953280} is an apocalyptic number.

41002491953280 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 41002491953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77918036313600).

41002491953280 is an abundant number, since it is smaller than the sum of its proper divisors (114833580673920).

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

41002491953280 is a wasteful number, since it uses less digits than its factorization.

41002491953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229052 (or 2229040 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 41002491953280 in words is "forty-one trillion, two billion, four hundred ninety-one million, nine hundred fifty-three thousand, two hundred eighty".