41875878554400 has 1152 divisors, whose sum is σ = 155551516065792. Its totient is φ = 9696637440000.

The previous prime is 41875878554359. The next prime is 41875878554401. The reversal of 41875878554400 is 445587857814.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (41875878554401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10236096355 + ... + 10236100445.

It is an arithmetic number, because the mean of its divisors is an integer number (135027357696).

Almost surely, 2^{41875878554400} is an apocalyptic number.

41875878554400 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 41875878554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77775758032896).

41875878554400 is an abundant number, since it is smaller than the sum of its proper divisors (113675637511392).

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

41875878554400 is a wasteful number, since it uses less digits than its factorization.

41875878554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 200704000, while the sum is 66.

The spelling of 41875878554400 in words is "forty-one trillion, eight hundred seventy-five billion, eight hundred seventy-eight million, five hundred fifty-four thousand, four hundred".