1290471101460 has 192 divisors, whose sum is σ = 4032569318400. Its totient is φ = 342604339200.

The previous prime is 1290471101419. The next prime is 1290471101461. The reversal of 1290471101460 is 641011740921.

1290471101460 is a `hidden beast` number, since 1 + 2 + 90 + 4 + 7 + 1 + 101 + 460 = 666.

It is a super-2 number, since 2×1290471101460² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290471101461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313904805 + ... + 313908915.

It is an arithmetic number, because the mean of its divisors is an integer number (21002965200).

Almost surely, 2^{1290471101460} is an apocalyptic number.

1290471101460 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 1290471101460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2016284659200).

1290471101460 is an abundant number, since it is smaller than the sum of its proper divisors (2742098216940).

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

1290471101460 is a wasteful number, since it uses less digits than its factorization.

1290471101460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6559 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

It can be divided in two parts, 1290471 and 101460, that added together give a palindrome (1391931).

The spelling of 1290471101460 in words is "one trillion, two hundred ninety billion, four hundred seventy-one million, one hundred one thousand, four hundred sixty".