41985526376400 has 240 divisors, whose sum is σ = 139224336840000. Its totient is φ = 10802841620480.

The previous prime is 41985526376369. The next prime is 41985526376411. The reversal of 41985526376400 is 467362558914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41985526376400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 51762772 + ... + 52567628.

It is an arithmetic number, because the mean of its divisors is an integer number (580101403500).

It is a 1-persistent number, because it is pandigital, but 2⋅41985526376400 = 83971052752800 is not.

Almost surely, 2^{41985526376400} is an apocalyptic number.

41985526376400 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 41985526376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69612168420000).

41985526376400 is an abundant number, since it is smaller than the sum of its proper divisors (97238810463600).

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

41985526376400 is a wasteful number, since it uses less digits than its factorization.

41985526376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806406 (or 806395 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 41985526376400 in words is "forty-one trillion, nine hundred eighty-five billion, five hundred twenty-six million, three hundred seventy-six thousand, four hundred".