1390213324800 has 1344 divisors, whose sum is σ = 5651773263360. Its totient is φ = 333226967040.

The previous prime is 1390213324741. The next prime is 1390213324807. The reversal of 1390213324800 is 84233120931.

1390213324800 is a `hidden beast` number, since 1 + 390 + 21 + 3 + 3 + 248 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390213324807) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2162073279 + ... + 2162073921.

It is an arithmetic number, because the mean of its divisors is an integer number (4205188440).

Almost surely, 2^{1390213324800} is an apocalyptic number.

1390213324800 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 1390213324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2825886631680).

1390213324800 is an abundant number, since it is smaller than the sum of its proper divisors (4261559938560).

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

1390213324800 is a wasteful number, since it uses less digits than its factorization.

1390213324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1390213324800 in words is "one trillion, three hundred ninety billion, two hundred thirteen million, three hundred twenty-four thousand, eight hundred".