1296901635840 has 864 divisors, whose sum is σ = 5037370793280. Its totient is φ = 314859847680.

The previous prime is 1296901635791. The next prime is 1296901635847. The reversal of 1296901635840 is 485361096921.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1296901635847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 564605572 + ... + 564607868.

It is an arithmetic number, because the mean of its divisors is an integer number (5830290270).

Almost surely, 2^{1296901635840} is an apocalyptic number.

1296901635840 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 1296901635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518685396640).

1296901635840 is an abundant number, since it is smaller than the sum of its proper divisors (3740469157440).

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

1296901635840 is a wasteful number, since it uses less digits than its factorization.

1296901635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1296901635840 in words is "one trillion, two hundred ninety-six billion, nine hundred one million, six hundred thirty-five thousand, eight hundred forty".