1402538066944 has 297 divisors, whose sum is σ = 3475766015949. Its totient is φ = 563910574080.

The previous prime is 1402538066939. The next prime is 1402538066953. The reversal of 1402538066944 is 4496608352041.

The square root of 1402538066944 is 1184288.

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

It can be written as a sum of positive squares in only one way, i.e., 1091941401600 + 310596665344 = 1044960^2 + 557312^2 .

It is a super-2 number, since 2×1402538066944² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1402538066891 and 1402538066900.

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 26 ways as a sum of consecutive naturals, for example, 4509768549 + ... + 4509768859.

Almost surely, 2^{1402538066944} is an apocalyptic number.

1402538066944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1402538066944 is the 1184288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402538066944

1402538066944 is an abundant number, since it is smaller than the sum of its proper divisors (2073227949005).

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

1402538066944 is an frugal number, since it uses more digits than its factorization.

1402538066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 1402538066944 in words is "one trillion, four hundred two billion, five hundred thirty-eight million, sixty-six thousand, nine hundred forty-four".