41384125833600 has 192 divisors, whose sum is σ = 148700688886080. Its totient is φ = 10032515328000.

The previous prime is 41384125833587. The next prime is 41384125833719. The reversal of 41384125833600 is 633852148314.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×41384125833600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 41384125833600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195841966 + ... + 196053165.

It is an arithmetic number, because the mean of its divisors is an integer number (774482754615).

Almost surely, 2^{41384125833600} is an apocalyptic number.

41384125833600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41384125833600 is an abundant number, since it is smaller than the sum of its proper divisors (107316563052480).

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

41384125833600 is a wasteful number, since it uses less digits than its factorization.

41384125833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391895169 (or 391895152 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 41384125833600 in words is "forty-one trillion, three hundred eighty-four billion, one hundred twenty-five million, eight hundred thirty-three thousand, six hundred".