1281414937680 has 90 divisors (see below), whose sum is σ = 4303520509626. Its totient is φ = 341702550144.

The previous prime is 1281414937589. The next prime is 1281414937729. The reversal of 1281414937680 is 867394141821.

1281414937680 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 4 + 1 + 493 + 76 + 80 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1025131950144 + 256282987536 = 1012488^2 + 506244^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30353547 + ... + 30395733.

Almost surely, 2^{1281414937680} is an apocalyptic number.

1281414937680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1281414937680 is an abundant number, since it is smaller than the sum of its proper divisors (3022105571946).

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

1281414937680 is an frugal number, since it uses more digits than its factorization.

1281414937680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84393 (or 42197 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1281414937680 in words is "one trillion, two hundred eighty-one billion, four hundred fourteen million, nine hundred thirty-seven thousand, six hundred eighty".