1396120320 has 576 divisors, whose sum is σ = 5886720000. Its totient is φ = 306561024.

The previous prime is 1396120303. The next prime is 1396120351. The reversal of 1396120320 is 230216931.

1396120320 is a `hidden beast` number, since 13 + 9 + 612 + 0 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7015581 + ... + 7015779.

It is an arithmetic number, because the mean of its divisors is an integer number (10220000).

Almost surely, 2^1396120320 is an apocalyptic number.

1396120320 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 1396120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943360000).

1396120320 is an abundant number, since it is smaller than the sum of its proper divisors (4490599680).

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

1396120320 is a wasteful number, since it uses less digits than its factorization.

1396120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1396120320 is about 37364.6934953306. The cubic root of 1396120320 is about 1117.6546157851.

The spelling of 1396120320 in words is "one billion, three hundred ninety-six million, one hundred twenty thousand, three hundred twenty".