11245004211440 has 80 divisors (see below), whose sum is σ = 26174994835968. Its totient is φ = 4492780197888.

The previous prime is 11245004211431. The next prime is 11245004211479. The reversal of 11245004211440 is 4411240054211.

11245004211440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 586982342 + ... + 587001498.

Almost surely, 2^{11245004211440} is an apocalyptic number.

11245004211440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11245004211440 is an abundant number, since it is smaller than the sum of its proper divisors (14929990624528).

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

11245004211440 is a wasteful number, since it uses less digits than its factorization.

11245004211440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27306 (or 27300 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

Adding to 11245004211440 its reverse (4411240054211), we get a palindrome (15656244265651).

The spelling of 11245004211440 in words is "eleven trillion, two hundred forty-five billion, four million, two hundred eleven thousand, four hundred forty".