1406954494496 has 96 divisors (see below), whose sum is σ = 3034703070000. Its totient is φ = 639119982592.

The previous prime is 1406954494493. The next prime is 1406954494537. The reversal of 1406954494496 is 6944944596041.

It can be written as a sum of positive squares in 8 ways, for example, as 1068039571600 + 338914922896 = 1033460^2 + 582164^2 .

It is not an unprimeable number, because it can be changed into a prime (1406954494493) 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, 101732510 + ... + 101746338.

Almost surely, 2^{1406954494496} is an apocalyptic number.

1406954494496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406954494496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517351535000).

1406954494496 is an abundant number, since it is smaller than the sum of its proper divisors (1627748575504).

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

1406954494496 is a wasteful number, since it uses less digits than its factorization.

1406954494496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20334 (or 20326 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 65.

The spelling of 1406954494496 in words is "one trillion, four hundred six billion, nine hundred fifty-four million, four hundred ninety-four thousand, four hundred ninety-six".