41366820870144 has 960 divisors, whose sum is σ = 154392753715200. Its totient is φ = 10720611532800.

The previous prime is 41366820870121. The next prime is 41366820870211. The reversal of 41366820870144 is 44107802866314.

41366820870144 is a `hidden beast` number, since 4 + 1 + 366 + 8 + 208 + 70 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×41366820870144² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6118443724 + ... + 6118450484.

It is an arithmetic number, because the mean of its divisors is an integer number (160825785120).

Almost surely, 2^{41366820870144} is an apocalyptic number.

41366820870144 is a gapful number since it is divisible by the number (44) 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 41366820870144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77196376857600).

41366820870144 is an abundant number, since it is smaller than the sum of its proper divisors (113025932845056).

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

41366820870144 is a wasteful number, since it uses less digits than its factorization.

41366820870144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 41366820870144 in words is "forty-one trillion, three hundred sixty-six billion, eight hundred twenty million, eight hundred seventy thousand, one hundred forty-four".