1290016986720 has 2304 divisors, whose sum is σ = 5897467699200. Its totient is φ = 232800583680.

The previous prime is 1290016986707. The next prime is 1290016986733. The reversal of 1290016986720 is 276896100921.

It is an interprime number because it is at equal distance from previous prime (1290016986707) and next prime (1290016986733).

It is a super-2 number, since 2×1290016986720² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3593361901 + ... + 3593362259.

It is an arithmetic number, because the mean of its divisors is an integer number (2559664800).

Almost surely, 2^{1290016986720} is an apocalyptic number.

1290016986720 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 1290016986720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948733849600).

1290016986720 is an abundant number, since it is smaller than the sum of its proper divisors (4607450712480).

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

1290016986720 is a wasteful number, since it uses less digits than its factorization.

1290016986720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The spelling of 1290016986720 in words is "one trillion, two hundred ninety billion, sixteen million, nine hundred eighty-six thousand, seven hundred twenty".