1390468390272 has 384 divisors, whose sum is σ = 4344867072000. Its totient is φ = 424292401152.

The previous prime is 1390468390253. The next prime is 1390468390279. The reversal of 1390468390272 is 2720938640931.

1390468390272 is a `hidden beast` number, since 1 + 3 + 90 + 468 + 3 + 90 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390468390279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087152129 + ... + 1087153407.

It is an arithmetic number, because the mean of its divisors is an integer number (11314758000).

Almost surely, 2^{1390468390272} is an apocalyptic number.

1390468390272 is a gapful number since it is divisible by the number (12) 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 1390468390272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172433536000).

1390468390272 is an abundant number, since it is smaller than the sum of its proper divisors (2954398681728).

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

1390468390272 is a wasteful number, since it uses less digits than its factorization.

1390468390272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 1390468390272 in words is "one trillion, three hundred ninety billion, four hundred sixty-eight million, three hundred ninety thousand, two hundred seventy-two".