41774715494400 has 672 divisors, whose sum is σ = 158402549587968. Its totient is φ = 9515630592000.

The previous prime is 41774715494363. The next prime is 41774715494423. The reversal of 41774715494400 is 449451747714.

It is a tau number, because it is divible by the number of its divisors (672).

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, 1260117825 + ... + 1260150975.

It is an arithmetic number, because the mean of its divisors is an integer number (235718079744).

Almost surely, 2^{41774715494400} is an apocalyptic number.

41774715494400 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 41774715494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79201274793984).

41774715494400 is an abundant number, since it is smaller than the sum of its proper divisors (116627834093568).

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

41774715494400 is a wasteful number, since it uses less digits than its factorization.

41774715494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33490 (or 33461 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 41774715494400 in words is "forty-one trillion, seven hundred seventy-four billion, seven hundred fifteen million, four hundred ninety-four thousand, four hundred".