1351090070400 has 192 divisors, whose sum is σ = 5085889303680. Its totient is φ = 308820572160.

The previous prime is 1351090070371. The next prime is 1351090070453. The reversal of 1351090070400 is 40700901531.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9985554 + ... + 10119953.

It is an arithmetic number, because the mean of its divisors is an integer number (26489006790).

Almost surely, 2^{1351090070400} is an apocalyptic number.

1351090070400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351090070400 is an abundant number, since it is smaller than the sum of its proper divisors (3734799233280).

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

1351090070400 is a wasteful number, since it uses less digits than its factorization.

1351090070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20105541 (or 20105524 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

Adding to 1351090070400 its reverse (40700901531), we get a palindrome (1391790971931).

The spelling of 1351090070400 in words is "one trillion, three hundred fifty-one billion, ninety million, seventy thousand, four hundred".