41778575879040 has 2304 divisors, whose sum is σ = 195329983680000. Its totient is φ = 7990254305280.

The previous prime is 41778575879023. The next prime is 41778575879081. The reversal of 41778575879040 is 4097857587714.

41778575879040 is a `hidden beast` number, since 4 + 1 + 7 + 7 + 8 + 575 + 8 + 7 + 9 + 0 + 40 = 666.

It is a super-2 number, since 2×41778575879040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 41778575879040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37402484562 + ... + 37402485678.

It is an arithmetic number, because the mean of its divisors is an integer number (84778638750).

Almost surely, 2^{41778575879040} is an apocalyptic number.

41778575879040 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 41778575879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97664991840000).

41778575879040 is an abundant number, since it is smaller than the sum of its proper divisors (153551407800960).

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

41778575879040 is a wasteful number, since it uses less digits than its factorization.

41778575879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 553190400, while the sum is 72.

The spelling of 41778575879040 in words is "forty-one trillion, seven hundred seventy-eight billion, five hundred seventy-five million, eight hundred seventy-nine thousand, forty".