1290315941838 has 384 divisors, whose sum is σ = 3671024467968. Its totient is φ = 317792160000.

The previous prime is 1290315941753. The next prime is 1290315941861. The reversal of 1290315941838 is 8381495130921.

It is a happy number.

1290315941838 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 3 + 1 + 594 + 18 + 38 = 666.

It is a super-2 number, since 2×1290315941838² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 815107195 + ... + 815108777.

It is an arithmetic number, because the mean of its divisors is an integer number (9559959552).

Almost surely, 2^{1290315941838} is an apocalyptic number.

1290315941838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290315941838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835512233984).

1290315941838 is an abundant number, since it is smaller than the sum of its proper divisors (2380708526130).

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

1290315941838 is a wasteful number, since it uses less digits than its factorization.

1290315941838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1290315941838 in words is "one trillion, two hundred ninety billion, three hundred fifteen million, nine hundred forty-one thousand, eight hundred thirty-eight".