1406356224768 has 864 divisors, whose sum is σ = 5039785820160. Its totient is φ = 386102661120.

The previous prime is 1406356224731. The next prime is 1406356224773. The reversal of 1406356224768 is 8674226536041.

1406356224768 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 3 + 5 + 622 + 4 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299031505 + ... + 299036207.

It is an arithmetic number, because the mean of its divisors is an integer number (5833085440).

Almost surely, 2^{1406356224768} is an apocalyptic number.

1406356224768 is a gapful number since it is divisible by the number (18) 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 1406356224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519892910080).

1406356224768 is an abundant number, since it is smaller than the sum of its proper divisors (3633429595392).

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

1406356224768 is a wasteful number, since it uses less digits than its factorization.

1406356224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4787 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 1406356224768 in words is "one trillion, four hundred six billion, three hundred fifty-six million, two hundred twenty-four thousand, seven hundred sixty-eight".