1290834704952 has 256 divisors, whose sum is σ = 3988202803200. Its totient is φ = 384158661120.

The previous prime is 1290834704941. The next prime is 1290834704969. The reversal of 1290834704952 is 2594074380921.

1290834704952 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 83 + 4 + 70 + 495 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246952563 + ... + 246957789.

It is an arithmetic number, because the mean of its divisors is an integer number (15578917200).

Almost surely, 2^{1290834704952} is an apocalyptic number.

1290834704952 is a gapful number since it is divisible by the number (12) 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 1290834704952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994101401600).

1290834704952 is an abundant number, since it is smaller than the sum of its proper divisors (2697368098248).

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

1290834704952 is a wasteful number, since it uses less digits than its factorization.

1290834704952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1290834704952 in words is "one trillion, two hundred ninety billion, eight hundred thirty-four million, seven hundred four thousand, nine hundred fifty-two".