11401000241000 has 64 divisors (see below), whose sum is σ = 28247654756880. Its totient is φ = 4292141260800.

The previous prime is 11401000240979. The next prime is 11401000241041. The reversal of 11401000241000 is 14200010411.

It can be written as a sum of positive squares in 8 ways, for example, as 10874735524 + 11390125505476 = 104282^2 + 3374926^2 .

It is a super-3 number, since 3×11401000241000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335306537 + ... + 335340536.

Almost surely, 2^{11401000241000} is an apocalyptic number.

11401000241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11401000241000 is an abundant number, since it is smaller than the sum of its proper divisors (16846654515880).

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

11401000241000 is a wasteful number, since it uses less digits than its factorization.

11401000241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670647111 (or 670647097 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11401000241000 its reverse (14200010411), we get a palindrome (11415200251411).

The spelling of 11401000241000 in words is "eleven trillion, four hundred one billion, two hundred forty-one thousand".