11401281792 has 288 divisors, whose sum is σ = 36409363200. Its totient is φ = 3508420608.

The previous prime is 11401281791. The next prime is 11401281847. The reversal of 11401281792 is 29718210411.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11401281791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4609068 + ... + 4611540.

It is an arithmetic number, because the mean of its divisors is an integer number (126421400).

Almost surely, 2^11401281792 is an apocalyptic number.

11401281792 is a gapful number since it is divisible by the number (12) 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 11401281792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204681600).

11401281792 is an abundant number, since it is smaller than the sum of its proper divisors (25008081408).

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

11401281792 is a wasteful number, since it uses less digits than its factorization.

11401281792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11401281792 in words is "eleven billion, four hundred one million, two hundred eighty-one thousand, seven hundred ninety-two".