1401829952121 has 27 divisors (see below), whose sum is σ = 2031366244687. Its totient is φ = 931562545200.

The previous prime is 1401829952101. The next prime is 1401829952161. The reversal of 1401829952121 is 1212599281041.

The square root of 1401829952121 is 1183989.

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

1401829952121 is a `hidden beast` number, since 1 + 4 + 0 + 18 + 2 + 99 + 521 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1208986012521 + 192843939600 = 1099539^2 + 439140^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1401829952121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1401829952101) 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, 1999757071 + ... + 1999757771.

Almost surely, 2^{1401829952121} is an apocalyptic number.

1401829952121 is the 1183989-th square number.

1401829952121 is the 591995-th centered octagonal number.

It is an amenable number.

1401829952121 is a deficient number, since it is larger than the sum of its proper divisors (629536292566).

1401829952121 is an frugal number, since it uses more digits than its factorization.

1401829952121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 1401829952121 in words is "one trillion, four hundred one billion, eight hundred twenty-nine million, nine hundred fifty-two thousand, one hundred twenty-one".