1399966938720 has 384 divisors, whose sum is σ = 5605476065280. Its totient is φ = 319671982080.

The previous prime is 1399966938691. The next prime is 1399966938743. The reversal of 1399966938720 is 278396699931.

1399966938720 is a `hidden beast` number, since 13 + 99 + 96 + 69 + 387 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 30852369 + ... + 30897711.

It is an arithmetic number, because the mean of its divisors is an integer number (14597593920).

Almost surely, 2^{1399966938720} is an apocalyptic number.

1399966938720 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 1399966938720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802738032640).

1399966938720 is an abundant number, since it is smaller than the sum of its proper divisors (4205509126560).

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

1399966938720 is a wasteful number, since it uses less digits than its factorization.

1399966938720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46395 (or 46381 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 1399966938720 in words is "one trillion, three hundred ninety-nine billion, nine hundred sixty-six million, nine hundred thirty-eight thousand, seven hundred twenty".