11434215390432 has 192 divisors, whose sum is σ = 32149357954560. Its totient is φ = 3549665839104.

The previous prime is 11434215390427. The next prime is 11434215390439. The reversal of 11434215390432 is 23409351243411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11434215390439) 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, 29907294 + ... + 30287202.

It is an arithmetic number, because the mean of its divisors is an integer number (167444572680).

Almost surely, 2^{11434215390432} is an apocalyptic number.

11434215390432 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 11434215390432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16074678977280).

11434215390432 is an abundant number, since it is smaller than the sum of its proper divisors (20715142564128).

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

11434215390432 is a wasteful number, since it uses less digits than its factorization.

11434215390432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380305 (or 380297 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 11434215390432 in words is "eleven trillion, four hundred thirty-four billion, two hundred fifteen million, three hundred ninety thousand, four hundred thirty-two".