11211449034240 has 1600 divisors, whose sum is σ = 52025460157440. Its totient is φ = 2240921272320.

The previous prime is 11211449034239. The next prime is 11211449034287. The reversal of 11211449034240 is 4243094411211.

11211449034240 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 144 + 90 + 3 + 424 + 0 = 666.

It is a super-2 number, since 2×11211449034240² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11211449034195 and 11211449034204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 358509805 + ... + 358541075.

Almost surely, 2^{11211449034240} is an apocalyptic number.

11211449034240 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 11211449034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26012730078720).

11211449034240 is an abundant number, since it is smaller than the sum of its proper divisors (40814011123200).

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

11211449034240 is a wasteful number, since it uses less digits than its factorization.

11211449034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31345 (or 31320 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11211449034240 in words is "eleven trillion, two hundred eleven billion, four hundred forty-nine million, thirty-four thousand, two hundred forty".