1001340430400 has 84 divisors (see below), whose sum is σ = 2464583181060. Its totient is φ = 400428902400.

The previous prime is 1001340430397. The next prime is 1001340430439. The reversal of 1001340430400 is 40340431001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15180211264 + 986160219136 = 123208^2 + 993056^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6031706 + ... + 6195494.

It is an arithmetic number, because the mean of its divisors is an integer number (29340275965).

Almost surely, 2^{1001340430400} is an apocalyptic number.

1001340430400 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 1001340430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232291590530).

1001340430400 is an abundant number, since it is smaller than the sum of its proper divisors (1463242750660).

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

1001340430400 is a wasteful number, since it uses less digits than its factorization.

1001340430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167632 (or 167617 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1001340430400 its reverse (40340431001), we get a palindrome (1041680861401).

The spelling of 1001340430400 in words is "one trillion, one billion, three hundred forty million, four hundred thirty thousand, four hundred".