1290028141584 has 240 divisors, whose sum is σ = 4460337353472. Its totient is φ = 338932657152.

The previous prime is 1290028141561. The next prime is 1290028141693. The reversal of 1290028141584 is 4851418200921.

1290028141584 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 0 + 28 + 1 + 41 + 584 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3259194 + ... + 3633510.

Almost surely, 2^{1290028141584} is an apocalyptic number.

1290028141584 is a gapful number since it is divisible by the number (14) 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 1290028141584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230168676736).

1290028141584 is an abundant number, since it is smaller than the sum of its proper divisors (3170309211888).

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

1290028141584 is a wasteful number, since it uses less digits than its factorization.

1290028141584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374614 (or 374605 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1290028141584 in words is "one trillion, two hundred ninety billion, twenty-eight million, one hundred forty-one thousand, five hundred eighty-four".