1331040432400 has 240 divisors, whose sum is σ = 3928865679360. Its totient is φ = 423138470400.

The previous prime is 1331040432329. The next prime is 1331040432461. The reversal of 1331040432400 is 42340401331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2234235 + ... + 2766565.

It is an arithmetic number, because the mean of its divisors is an integer number (16370273664).

Almost surely, 2^{1331040432400} is an apocalyptic number.

1331040432400 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 1331040432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964432839680).

1331040432400 is an abundant number, since it is smaller than the sum of its proper divisors (2597825246960).

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

1331040432400 is a wasteful number, since it uses less digits than its factorization.

1331040432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532422 (or 532411 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 1331040432400 its reverse (42340401331), we get a palindrome (1373380833731).

The spelling of 1331040432400 in words is "one trillion, three hundred thirty-one billion, forty million, four hundred thirty-two thousand, four hundred".