1321462903401 has 27 divisors (see below), whose sum is σ = 1926389179767. Its totient is φ = 872921528640.

The previous prime is 1321462903381. The next prime is 1321462903547. The reversal of 1321462903401 is 1043092641231.

The square root of 1321462903401 is 1149549.

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

1321462903401 is a `hidden beast` number, since 1 + 3 + 21 + 4 + 6 + 290 + 340 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23285234025 + 1298177669376 = 152595^2 + 1139376^2 .

It is not a de Polignac number, because 1321462903401 - 2⁷ = 1321462903273 is a prime.

It is a super-4 number, since 4×1321462903401⁴ (a number of 50 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1321462903601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 389695416 + ... + 389698806.

Almost surely, 2^{1321462903401} is an apocalyptic number.

1321462903401 is the 1149549-th square number.

1321462903401 is the 574775-th centered octagonal number.

It is an amenable number.

1321462903401 is a deficient number, since it is larger than the sum of its proper divisors (604926276366).

1321462903401 is an frugal number, since it uses more digits than its factorization.

1321462903401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014 (or 3507 counting only the distinct ones).

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

Multiplying 1321462903401 by its sum of digits (36), we get a square (47572664522436 = 6897294²).

The spelling of 1321462903401 in words is "one trillion, three hundred twenty-one billion, four hundred sixty-two million, nine hundred three thousand, four hundred one".