1472961036960 has 960 divisors, whose sum is σ = 6493537290240. Its totient is φ = 306640650240.

The previous prime is 1472961036947. The next prime is 1472961036997. The reversal of 1472961036960 is 696301692741.

1472961036960 is a `hidden beast` number, since 1 + 472 + 9 + 6 + 103 + 6 + 9 + 60 = 666.

It is a super-2 number, since 2×1472961036960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1472961036897 and 1472961036906.

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 159 ways as a sum of consecutive naturals, for example, 47794036 + ... + 47824844.

It is an arithmetic number, because the mean of its divisors is an integer number (6764101344).

Almost surely, 2^{1472961036960} is an apocalyptic number.

1472961036960 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 1472961036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246768645120).

1472961036960 is an abundant number, since it is smaller than the sum of its proper divisors (5020576253280).

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

1472961036960 is a wasteful number, since it uses less digits than its factorization.

1472961036960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30891 (or 30874 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1472961036960 in words is "one trillion, four hundred seventy-two billion, nine hundred sixty-one million, thirty-six thousand, nine hundred sixty".