1470069972000 has 2880 divisors, whose sum is σ = 6767526205440. Its totient is φ = 310915584000.

The previous prime is 1470069971963. The next prime is 1470069972001. The reversal of 1470069972000 is 2799600741.

It is a super-2 number, since 2×1470069972000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1470069972001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14272523949 + ... + 14272524051.

It is an arithmetic number, because the mean of its divisors is an integer number (2349835488).

Almost surely, 2^{1470069972000} is an apocalyptic number.

1470069972000 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 1470069972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383763102720).

1470069972000 is an abundant number, since it is smaller than the sum of its proper divisors (5297456233440).

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

1470069972000 is a wasteful number, since it uses less digits than its factorization.

1470069972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1470069972000 in words is "one trillion, four hundred seventy billion, sixty-nine million, nine hundred seventy-two thousand".