1383964016400 has 405 divisors, whose sum is σ = 5588855624703. Its totient is φ = 316221696000.

The previous prime is 1383964016381. The next prime is 1383964016411. The reversal of 1383964016400 is 46104693831.

The square root of 1383964016400 is 1176420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23810958864 + 1360153057536 = 154308^2 + 1166256^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 494095000 + ... + 494097800.

Almost surely, 2^{1383964016400} is an apocalyptic number.

1383964016400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1383964016400 is the 1176420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1383964016400

1383964016400 is an abundant number, since it is smaller than the sum of its proper divisors (4204891608303).

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

1383964016400 is an equidigital number, since it uses as much as digits as its factorization.

1383964016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5640 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1383964016400 in words is "one trillion, three hundred eighty-three billion, nine hundred sixty-four million, sixteen thousand, four hundred".