1290590461440 has 2560 divisors, whose sum is σ = 5883052032000. Its totient is φ = 261524422656.

The previous prime is 1290590461429. The next prime is 1290590461499. The reversal of 1290590461440 is 441640950921.

1290590461440 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 590 + 4 + 6 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12530004429 + ... + 12530004531.

It is an arithmetic number, because the mean of its divisors is an integer number (2298067200).

Almost surely, 2^{1290590461440} is an apocalyptic number.

1290590461440 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 1290590461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941526016000).

1290590461440 is an abundant number, since it is smaller than the sum of its proper divisors (4592461570560).

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

1290590461440 is a wasteful number, since it uses less digits than its factorization.

1290590461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1290590461440 in words is "one trillion, two hundred ninety billion, five hundred ninety million, four hundred sixty-one thousand, four hundred forty".