1290950040480 has 192 divisors, whose sum is σ = 4078179705600. Its totient is φ = 343265402880.

The previous prime is 1290950040461. The next prime is 1290950040491. The reversal of 1290950040480 is 840400590921.

It is a super-3 number, since 3×1290950040480³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 342516036 + ... + 342519804.

It is an arithmetic number, because the mean of its divisors is an integer number (21240519300).

Almost surely, 2^{1290950040480} is an apocalyptic number.

1290950040480 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 1290950040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039089852800).

1290950040480 is an abundant number, since it is smaller than the sum of its proper divisors (2787229665120).

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

1290950040480 is a wasteful number, since it uses less digits than its factorization.

1290950040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5647 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 1290950040480 in words is "one trillion, two hundred ninety billion, nine hundred fifty million, forty thousand, four hundred eighty".