1401053405400 has 576 divisors, whose sum is σ = 5447281039200. Its totient is φ = 318941184000.

The previous prime is 1401053405377. The next prime is 1401053405471. The reversal of 1401053405400 is 45043501041.

It is a happy number.

1401053405400 is a `hidden beast` number, since 14 + 0 + 105 + 3 + 4 + 0 + 540 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155168086 + ... + 155177114.

Almost surely, 2^{1401053405400} is an apocalyptic number.

1401053405400 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 1401053405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723640519600).

1401053405400 is an abundant number, since it is smaller than the sum of its proper divisors (4046227633800).

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

1401053405400 is a wasteful number, since it uses less digits than its factorization.

1401053405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9540 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1401053405400 its reverse (45043501041), we get a palindrome (1446096906441).

The spelling of 1401053405400 in words is "one trillion, four hundred one billion, fifty-three million, four hundred five thousand, four hundred".