11406540800 has 162 divisors, whose sum is σ = 28775699253. Its totient is φ = 4485283840.

The previous prime is 11406540793. The next prime is 11406540809. The reversal of 11406540800 is 804560411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11178409984 + 228130816 = 105728^2 + 15104^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=75520.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11406540809) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 193331171 + ... + 193331229.

Almost surely, 2^11406540800 is an apocalyptic number.

11406540800 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 11406540800

11406540800 is an abundant number, since it is smaller than the sum of its proper divisors (17369158453).

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

11406540800 is an frugal number, since it uses more digits than its factorization.

11406540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 11406540800 in words is "eleven billion, four hundred six million, five hundred forty thousand, eight hundred".