1400946835456 has 135 divisors (see below), whose sum is σ = 3261715355997. Its totient is φ = 599951278080.

The previous prime is 1400946835439. The next prime is 1400946835459. The reversal of 1400946835456 is 6545386490041.

The square root of 1400946835456 is 1183616.

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

It can be written as a sum of positive squares in only one way, i.e., 1296901881856 + 104044953600 = 1138816^2 + 322560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1400946835397 and 1400946835406.

It is not an unprimeable number, because it can be changed into a prime (1400946835459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1060519276 + ... + 1060520596.

Almost surely, 2^{1400946835456} is an apocalyptic number.

1400946835456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1400946835456 is the 1183616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400946835456

1400946835456 is an abundant number, since it is smaller than the sum of its proper divisors (1860768520541).

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

1400946835456 is an frugal number, since it uses more digits than its factorization.

1400946835456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 55.

The spelling of 1400946835456 in words is "one trillion, four hundred billion, nine hundred forty-six million, eight hundred thirty-five thousand, four hundred fifty-six".