1429007458921 has 9 divisors (see below), whose sum is σ = 1662324533271. Its totient is φ = 1224856363752.

The previous prime is 1429007458897. The next prime is 1429007458927. The reversal of 1429007458921 is 1298547009241.

The square root of 1429007458921 is 1195411.

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., 647968651225 + 781038807696 = 804965^2 + 883764^2 .

It is not a de Polignac number, because 1429007458921 - 2¹⁵ = 1429007426153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1429007458927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8282491 + ... + 8453263.

It is an arithmetic number, because the mean of its divisors is an integer number (184702725919).

Almost surely, 2^{1429007458921} is an apocalyptic number.

1429007458921 is the 1195411-st square number.

1429007458921 is the 597706-th centered octagonal number.

It is an amenable number.

1429007458921 is a deficient number, since it is larger than the sum of its proper divisors (233317074350).

1429007458921 is an frugal number, since it uses more digits than its factorization.

1429007458921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341560 (or 170780 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 1429007458921 in words is "one trillion, four hundred twenty-nine billion, seven million, four hundred fifty-eight thousand, nine hundred twenty-one".