41125780080 has 1200 divisors, whose sum is σ = 183908229120. Its totient is φ = 8334627840.

The previous prime is 41125780067. The next prime is 41125780093. The reversal of 41125780080 is 8008752114.

41125780080 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 578 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (41125780067) and next prime (41125780093).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 323824977 + ... + 323825103.

Almost surely, 2^41125780080 is an apocalyptic number.

41125780080 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 41125780080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91954114560).

41125780080 is an abundant number, since it is smaller than the sum of its proper divisors (142782449040).

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

41125780080 is a wasteful number, since it uses less digits than its factorization.

41125780080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 41125780080 in words is "forty-one billion, one hundred twenty-five million, seven hundred eighty thousand, eighty".