41780588838912 has 960 divisors, whose sum is σ = 156092384448000. Its totient is φ = 10849552957440.

The previous prime is 41780588838893. The next prime is 41780588838941. The reversal of 41780588838912 is 21983888508714.

41780588838912 is a `hidden beast` number, since 4 + 1 + 7 + 8 + 0 + 588 + 8 + 38 + 9 + 1 + 2 = 666.

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

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, 9809950639 + ... + 9809954897.

It is an arithmetic number, because the mean of its divisors is an integer number (162596233800).

Almost surely, 2^{41780588838912} is an apocalyptic number.

41780588838912 is a gapful number since it is divisible by the number (42) 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 41780588838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78046192224000).

41780588838912 is an abundant number, since it is smaller than the sum of its proper divisors (114311795609088).

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

41780588838912 is an frugal number, since it uses more digits than its factorization.

41780588838912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4330 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 247726080, while the sum is 72.

The spelling of 41780588838912 in words is "forty-one trillion, seven hundred eighty billion, five hundred eighty-eight million, eight hundred thirty-eight thousand, nine hundred twelve".