1406458427364 has 243 divisors, whose sum is σ = 3826847648169. Its totient is φ = 435477902400.

The previous prime is 1406458427347. The next prime is 1406458427389. The reversal of 1406458427364 is 4637248546041.

The square root of 1406458427364 is 1185942.

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

1406458427364 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 4 + 584 + 27 + 36 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1351308601764 + 55149825600 = 1162458^2 + 234840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1406458427364.

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, 13654936137 + ... + 13654936239.

Almost surely, 2^{1406458427364} is an apocalyptic number.

1406458427364 is the 1185942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406458427364

1406458427364 is an abundant number, since it is smaller than the sum of its proper divisors (2420389220805).

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

1406458427364 is a wasteful number, since it uses less digits than its factorization.

1406458427364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 1406458427364 in words is "one trillion, four hundred six billion, four hundred fifty-eight million, four hundred twenty-seven thousand, three hundred sixty-four".