1290156070320 has 480 divisors, whose sum is σ = 4897261055232. Its totient is φ = 313745550336.

The previous prime is 1290156070309. The next prime is 1290156070321. The reversal of 1290156070320 is 230706510921.

1290156070320 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 1 + 560 + 70 + 3 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1290156070321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20945007 + ... + 21006513.

Almost surely, 2^{1290156070320} is an apocalyptic number.

1290156070320 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 1290156070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448630527616).

1290156070320 is an abundant number, since it is smaller than the sum of its proper divisors (3607104984912).

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

1290156070320 is a wasteful number, since it uses less digits than its factorization.

1290156070320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61631 (or 61613 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 1290156070320 in words is "one trillion, two hundred ninety billion, one hundred fifty-six million, seventy thousand, three hundred twenty".