1056714950401 has 16 divisors (see below), whose sum is σ = 1155648384000. Its totient is φ = 958260517200.

The previous prime is 1056714950329. The next prime is 1056714950407. The reversal of 1056714950401 is 1040594176501.

It is a cyclic number.

It is not a de Polignac number, because 1056714950401 - 2¹⁵ = 1056714917633 is a prime.

It is a super-2 number, since 2×1056714950401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1056714950407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26051506 + ... + 26092036.

It is an arithmetic number, because the mean of its divisors is an integer number (72228024000).

Almost surely, 2^{1056714950401} is an apocalyptic number.

1056714950401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1056714950401 is a deficient number, since it is larger than the sum of its proper divisors (98933433599).

1056714950401 is a wasteful number, since it uses less digits than its factorization.

1056714950401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46380.

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 1056714950401 in words is "one trillion, fifty-six billion, seven hundred fourteen million, nine hundred fifty thousand, four hundred one".