10541333774400 has 672 divisors, whose sum is σ = 41296814918016. Its totient is φ = 2320220160000.

The previous prime is 10541333774371. The next prime is 10541333774513. The reversal of 10541333774400 is 447733314501.

It is a super-2 number, since 2×10541333774400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41744520 + ... + 41996280.

It is an arithmetic number, because the mean of its divisors is an integer number (61453593628).

Almost surely, 2^{10541333774400} is an apocalyptic number.

10541333774400 is a gapful number since it is divisible by the number (10) 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 10541333774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20648407459008).

10541333774400 is an abundant number, since it is smaller than the sum of its proper divisors (30755481143616).

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

10541333774400 is a wasteful number, since it uses less digits than its factorization.

10541333774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251871 (or 251856 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 10541333774400 in words is "ten trillion, five hundred forty-one billion, three hundred thirty-three million, seven hundred seventy-four thousand, four hundred".