11427840000 has 510 divisors, whose sum is σ = 42584443616. Its totient is φ = 2949120000.

The previous prime is 11427839999. The next prime is 11427840013. The reversal of 11427840000 is 4872411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 368639985 + ... + 368640015.

Almost surely, 2^11427840000 is an apocalyptic number.

11427840000 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 11427840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21292221808).

11427840000 is an abundant number, since it is smaller than the sum of its proper divisors (31156603616).

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

11427840000 is an frugal number, since it uses more digits than its factorization.

11427840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 11427840000 in words is "eleven billion, four hundred twenty-seven million, eight hundred forty thousand".