1011432412320 has 384 divisors, whose sum is σ = 3559800545280. Its totient is φ = 239289262080.

The previous prime is 1011432412261. The next prime is 1011432412327. The reversal of 1011432412320 is 232142341101.

1011432412320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1011432412327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89083764 + ... + 89095116.

It is an arithmetic number, because the mean of its divisors is an integer number (9270313920).

Almost surely, 2^{1011432412320} is an apocalyptic number.

1011432412320 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 1011432412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779900272640).

1011432412320 is an abundant number, since it is smaller than the sum of its proper divisors (2548368132960).

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

1011432412320 is a wasteful number, since it uses less digits than its factorization.

1011432412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11788 (or 11780 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1011432412320 its reverse (232142341101), we get a palindrome (1243574753421).

The spelling of 1011432412320 in words is "one trillion, eleven billion, four hundred thirty-two million, four hundred twelve thousand, three hundred twenty".