1304414010400 has 72 divisors (see below), whose sum is σ = 3186641291904. Its totient is φ = 521398483200.

The previous prime is 1304414010397. The next prime is 1304414010437. The reversal of 1304414010400 is 40104144031.

It is a super-2 number, since 2×1304414010400² (a number of 25 digits) contains 22 as substring.

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, 565485 + ... + 1711315.

It is an arithmetic number, because the mean of its divisors is an integer number (44258906832).

Almost surely, 2^{1304414010400} is an apocalyptic number.

1304414010400 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 1304414010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593320645952).

1304414010400 is an abundant number, since it is smaller than the sum of its proper divisors (1882227281504).

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

1304414010400 is a wasteful number, since it uses less digits than its factorization.

1304414010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147274 (or 1147261 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1304414010400 its reverse (40104144031), we get a palindrome (1344518154431).

The spelling of 1304414010400 in words is "one trillion, three hundred four billion, four hundred fourteen million, ten thousand, four hundred".