1330400340432 has 120 divisors (see below), whose sum is σ = 3858787980840. Its totient is φ = 427382645760.

The previous prime is 1330400340391. The next prime is 1330400340517. The reversal of 1330400340432 is 2340430040331.

1330400340432 is a `hidden beast` number, since 13 + 304 + 0 + 0 + 340 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 447068736 + 1329953271696 = 21144^2 + 1153236^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1330400340396 and 1330400340405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1964778 + ... + 2553654.

It is an arithmetic number, because the mean of its divisors is an integer number (32156566507).

Almost surely, 2^{1330400340432} is an apocalyptic number.

1330400340432 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 1330400340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929393990420).

1330400340432 is an abundant number, since it is smaller than the sum of its proper divisors (2528387640408).

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

1330400340432 is a wasteful number, since it uses less digits than its factorization.

1330400340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589461 (or 589452 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1330400340432 its reverse (2340430040331), we get a palindrome (3670830380763).

The spelling of 1330400340432 in words is "one trillion, three hundred thirty billion, four hundred million, three hundred forty thousand, four hundred thirty-two".