10401445135400 has 192 divisors, whose sum is σ = 27247854150720. Its totient is φ = 3660140390400.

The previous prime is 10401445135351. The next prime is 10401445135427. The reversal of 10401445135400 is 453154410401.

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 47 ways as a sum of consecutive naturals, for example, 7900799 + ... + 9122801.

It is an arithmetic number, because the mean of its divisors is an integer number (141915907035).

Almost surely, 2^{10401445135400} is an apocalyptic number.

10401445135400 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 10401445135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623927075360).

10401445135400 is an abundant number, since it is smaller than the sum of its proper divisors (16846409015320).

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

10401445135400 is a wasteful number, since it uses less digits than its factorization.

10401445135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222156 (or 1222147 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 10401445135400 its reverse (453154410401), we get a palindrome (10854599545801).

The spelling of 10401445135400 in words is "ten trillion, four hundred one billion, four hundred forty-five million, one hundred thirty-five thousand, four hundred".