10145228342400 has 288 divisors, whose sum is σ = 37368261016320. Its totient is φ = 2618123212800.

The previous prime is 10145228342387. The next prime is 10145228342423. The reversal of 10145228342400 is 424382254101.

10145228342400 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 228 + 3 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 4788892 + ... + 6574491.

Almost surely, 2^{10145228342400} is an apocalyptic number.

10145228342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145228342400 is an abundant number, since it is smaller than the sum of its proper divisors (27223032673920).

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

10145228342400 is a wasteful number, since it uses less digits than its factorization.

10145228342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363444 (or 11363424 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 10145228342400 in words is "ten trillion, one hundred forty-five billion, two hundred twenty-eight million, three hundred forty-two thousand, four hundred".