1290052060440 has 768 divisors, whose sum is σ = 4912923456000. Its totient is φ = 267035934720.

The previous prime is 1290052060439. The next prime is 1290052060459. The reversal of 1290052060440 is 440602500921.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 292592956 + ... + 292597364.

It is an arithmetic number, because the mean of its divisors is an integer number (6397035750).

Almost surely, 2^{1290052060440} is an apocalyptic number.

1290052060440 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 1290052060440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456461728000).

1290052060440 is an abundant number, since it is smaller than the sum of its proper divisors (3622871395560).

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

1290052060440 is a wasteful number, since it uses less digits than its factorization.

1290052060440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4540 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1290052060440 in words is "one trillion, two hundred ninety billion, fifty-two million, sixty thousand, four hundred forty".