10145400250400 has 36 divisors (see below), whose sum is σ = 24767458363242. Its totient is φ = 4058160099840.

The previous prime is 10145400250387. The next prime is 10145400250421. The reversal of 10145400250400 is 405200454101.

It can be written as a sum of positive squares in 3 ways, for example, as 8945052125584 + 1200348124816 = 2990828^2 + 1095604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10145400250400.

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 5 ways as a sum of consecutive naturals, for example, 6340874357 + ... + 6340875956.

Almost surely, 2^{10145400250400} is an apocalyptic number.

10145400250400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145400250400 is an abundant number, since it is smaller than the sum of its proper divisors (14622058112842).

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

10145400250400 is a wasteful number, since it uses less digits than its factorization.

10145400250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12681750333 (or 12681750320 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The spelling of 10145400250400 in words is "ten trillion, one hundred forty-five billion, four hundred million, two hundred fifty thousand, four hundred".