1340113632 has 384 divisors, whose sum is σ = 4421910528. Its totient is φ = 349747200.

The previous prime is 1340113627. The next prime is 1340113651. The reversal of 1340113632 is 2363110431.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20001663 + ... + 20001729.

It is an arithmetic number, because the mean of its divisors is an integer number (11515392).

Almost surely, 2^1340113632 is an apocalyptic number.

1340113632 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 1340113632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210955264).

1340113632 is an abundant number, since it is smaller than the sum of its proper divisors (3081796896).

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

1340113632 is a wasteful number, since it uses less digits than its factorization.

1340113632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1340113632 is about 36607.5624973857. The cubic root of 1340113632 is about 1102.5049338275.

The spelling of 1340113632 in words is "one billion, three hundred forty million, one hundred thirteen thousand, six hundred thirty-two".