1281068297040 has 240 divisors, whose sum is σ = 4620749217408. Its totient is φ = 292748424192.

The previous prime is 1281068297029. The next prime is 1281068297051. The reversal of 1281068297040 is 407928601821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1281068297029) and next prime (1281068297051).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1281068297040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66116794 + ... + 66136166.

Almost surely, 2^{1281068297040} is an apocalyptic number.

1281068297040 is a gapful number since it is divisible by the number (10) 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 1281068297040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310374608704).

1281068297040 is an abundant number, since it is smaller than the sum of its proper divisors (3339680920368).

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

1281068297040 is a wasteful number, since it uses less digits than its factorization.

1281068297040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25026 (or 25013 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 1281068297040 in words is "one trillion, two hundred eighty-one billion, sixty-eight million, two hundred ninety-seven thousand, forty".