11401251298428 has 192 divisors, whose sum is σ = 30224529216000. Its totient is φ = 3323501715456.

The previous prime is 11401251298427. The next prime is 11401251298477. The reversal of 11401251298428 is 82489215210411.

It is a super-3 number, since 3×11401251298428³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401251298427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50535138 + ... + 50760246.

It is an arithmetic number, because the mean of its divisors is an integer number (157419423000).

Almost surely, 2^{11401251298428} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11401251298428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15112264608000).

11401251298428 is an abundant number, since it is smaller than the sum of its proper divisors (18823277917572).

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

11401251298428 is a wasteful number, since it uses less digits than its factorization.

11401251298428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225404 (or 225402 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The spelling of 11401251298428 in words is "eleven trillion, four hundred one billion, two hundred fifty-one million, two hundred ninety-eight thousand, four hundred twenty-eight".