1300551320400 has 240 divisors, whose sum is σ = 4305233256960. Its totient is φ = 335255961600.

The previous prime is 1300551320357. The next prime is 1300551320407. The reversal of 1300551320400 is 40231550031.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300551320407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34539984 + ... + 34577616.

It is an arithmetic number, because the mean of its divisors is an integer number (17938471904).

Almost surely, 2^{1300551320400} is an apocalyptic number.

1300551320400 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 1300551320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152616628480).

1300551320400 is an abundant number, since it is smaller than the sum of its proper divisors (3004681936560).

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

1300551320400 is a wasteful number, since it uses less digits than its factorization.

1300551320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38614 (or 38603 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 1300551320400 its reverse (40231550031), we get a palindrome (1340782870431).

The spelling of 1300551320400 in words is "one trillion, three hundred billion, five hundred fifty-one million, three hundred twenty thousand, four hundred".