1291452219360 has 480 divisors, whose sum is σ = 4805376982560. Its totient is φ = 325735022592.

The previous prime is 1291452219347. The next prime is 1291452219373. The reversal of 1291452219360 is 639122541921.

It is a happy number.

1291452219360 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 452 + 2 + 193 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1291452219347) and next prime (1291452219373).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 165715624 + ... + 165723416.

It is an arithmetic number, because the mean of its divisors is an integer number (10011202047).

Almost surely, 2^{1291452219360} is an apocalyptic number.

1291452219360 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 1291452219360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402688491280).

1291452219360 is an abundant number, since it is smaller than the sum of its proper divisors (3513924763200).

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

1291452219360 is a wasteful number, since it uses less digits than its factorization.

1291452219360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1291452219360 in words is "one trillion, two hundred ninety-one billion, four hundred fifty-two million, two hundred nineteen thousand, three hundred sixty".