1047476720160 has 480 divisors, whose sum is σ = 3986166591792. Its totient is φ = 257511260160.

The previous prime is 1047476720159. The next prime is 1047476720177. The reversal of 1047476720160 is 610276747401.

1047476720160 is a `hidden beast` number, since 10 + 4 + 7 + 476 + 7 + 2 + 0 + 160 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 458887017744 + 588589702416 = 677412^2 + 767196^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 148427352 + ... + 148434408.

Almost surely, 2^{1047476720160} is an apocalyptic number.

1047476720160 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 1047476720160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993083295896).

1047476720160 is an abundant number, since it is smaller than the sum of its proper divisors (2938689871632).

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

1047476720160 is a wasteful number, since it uses less digits than its factorization.

1047476720160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 1047476720160 in words is "one trillion, forty-seven billion, four hundred seventy-six million, seven hundred twenty thousand, one hundred sixty".