1470473222400 has 3240 divisors, whose sum is σ = 7017691375464. Its totient is φ = 300987187200.

The previous prime is 1470473222377. The next prime is 1470473222437. The reversal of 1470473222400 is 42223740741.

1470473222400 is a `hidden beast` number, since 147 + 0 + 473 + 2 + 2 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1038540351744 + 431932870656 = 1019088^2 + 657216^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

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 (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 20143468764 + ... + 20143468836.

Almost surely, 2^{1470473222400} is an apocalyptic number.

1470473222400 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 1470473222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508845687732).

1470473222400 is an abundant number, since it is smaller than the sum of its proper divisors (5547218153064).

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

1470473222400 is a wasteful number, since it uses less digits than its factorization.

1470473222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 1470473222400 in words is "one trillion, four hundred seventy billion, four hundred seventy-three million, two hundred twenty-two thousand, four hundred".