41985290779200 has 252 divisors, whose sum is σ = 154752513486480. Its totient is φ = 11196077437440.

The previous prime is 41985290779183. The next prime is 41985290779207. The reversal of 41985290779200 is 297709258914.

41985290779200 is a `hidden beast` number, since 4 + 19 + 8 + 529 + 0 + 7 + 7 + 92 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (41985290779207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53604630 + ... + 54382229.

It is an arithmetic number, because the mean of its divisors is an integer number (614097275740).

Almost surely, 2^{41985290779200} is an apocalyptic number.

41985290779200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41985290779200 is an abundant number, since it is smaller than the sum of its proper divisors (112767222707280).

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

41985290779200 is a wasteful number, since it uses less digits than its factorization.

41985290779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107986896 (or 107986869 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 41985290779200 in words is "forty-one trillion, nine hundred eighty-five billion, two hundred ninety million, seven hundred seventy-nine thousand, two hundred".