1354790408790 has 256 divisors, whose sum is σ = 4077159432192. Its totient is φ = 280498927104.

The previous prime is 1354790408767. The next prime is 1354790408801. The reversal of 1354790408790 is 978040974531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1354790408790.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48091249 + ... + 48119411.

It is an arithmetic number, because the mean of its divisors is an integer number (15926404032).

Almost surely, 2^{1354790408790} is an apocalyptic number.

1354790408790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354790408790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038579716096).

1354790408790 is an abundant number, since it is smaller than the sum of its proper divisors (2722369023402).

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

1354790408790 is a wasteful number, since it uses less digits than its factorization.

1354790408790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28523.

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 1354790408790 in words is "one trillion, three hundred fifty-four billion, seven hundred ninety million, four hundred eight thousand, seven hundred ninety".