1290857323392 has 384 divisors, whose sum is σ = 4772752135200. Its totient is φ = 340445306880.

The previous prime is 1290857323367. The next prime is 1290857323397. The reversal of 1290857323392 is 2933237580921.

1290857323392 is a `hidden beast` number, since 1 + 2 + 90 + 85 + 73 + 23 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (1290857323397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1908292 + ... + 2494652.

Almost surely, 2^{1290857323392} is an apocalyptic number.

1290857323392 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 1290857323392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386376067600).

1290857323392 is an abundant number, since it is smaller than the sum of its proper divisors (3481894811808).

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

1290857323392 is a wasteful number, since it uses less digits than its factorization.

1290857323392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586411 (or 586386 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1290857323392 in words is "one trillion, two hundred ninety billion, eight hundred fifty-seven million, three hundred twenty-three thousand, three hundred ninety-two".