1290408477120 has 896 divisors, whose sum is σ = 5324880384000. Its totient is φ = 294057050112.

The previous prime is 1290408477107. The next prime is 1290408477151. The reversal of 1290408477120 is 217748040921.

1290408477120 is a `hidden beast` number, since 12 + 9 + 0 + 40 + 8 + 477 + 120 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1917397104 + ... + 1917397776.

Almost surely, 2^{1290408477120} is an apocalyptic number.

1290408477120 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 1290408477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662440192000).

1290408477120 is an abundant number, since it is smaller than the sum of its proper divisors (4034471906880).

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

1290408477120 is an equidigital number, since it uses as much as digits as its factorization.

1290408477120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1290408477120 in words is "one trillion, two hundred ninety billion, four hundred eight million, four hundred seventy-seven thousand, one hundred twenty".