1351143104400 has 240 divisors, whose sum is σ = 4939044892800. Its totient is φ = 350566755840.

The previous prime is 1351143104371. The next prime is 1351143104407. The reversal of 1351143104400 is 44013411531.

1351143104400 is a `hidden beast` number, since 1 + 3 + 511 + 4 + 3 + 104 + 40 + 0 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (1351143104407) 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, 1291020 + ... + 2090219.

It is an arithmetic number, because the mean of its divisors is an integer number (20579353720).

Almost surely, 2^{1351143104400} is an apocalyptic number.

1351143104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351143104400 is an abundant number, since it is smaller than the sum of its proper divisors (3587901788400).

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

1351143104400 is a wasteful number, since it uses less digits than its factorization.

1351143104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381303 (or 3381286 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1351143104400 its reverse (44013411531), we get a palindrome (1395156515931).

The spelling of 1351143104400 in words is "one trillion, three hundred fifty-one billion, one hundred forty-three million, one hundred four thousand, four hundred".