10143460614400 has 243 divisors, whose sum is σ = 25760472605959. Its totient is φ = 3954347008000.

The previous prime is 10143460614389. The next prime is 10143460614449. The reversal of 10143460614400 is 441606434101.

The square root of 10143460614400 is 3184880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4269546098944 + 5873914515456 = 2066288^2 + 2423616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10446405915 + ... + 10446406885.

Almost surely, 2^{10143460614400} is an apocalyptic number.

10143460614400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10143460614400 is the 3184880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10143460614400

10143460614400 is an abundant number, since it is smaller than the sum of its proper divisors (15617011991559).

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

10143460614400 is an frugal number, since it uses more digits than its factorization.

10143460614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 10143460614400 in words is "ten trillion, one hundred forty-three billion, four hundred sixty million, six hundred fourteen thousand, four hundred".