1354613190840 has 1920 divisors, whose sum is σ = 5962603268160. Its totient is φ = 274274574336.

The previous prime is 1354613190839. The next prime is 1354613190857. The reversal of 1354613190840 is 480913164531.

1354613190840 is a `hidden beast` number, since 1 + 3 + 546 + 13 + 1 + 90 + 8 + 4 + 0 = 666.

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 479 ways as a sum of consecutive naturals, for example, 18556345044 + ... + 18556345116.

Almost surely, 2^{1354613190840} is an apocalyptic number.

1354613190840 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 1354613190840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981301634080).

1354613190840 is an abundant number, since it is smaller than the sum of its proper divisors (4607990077320).

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

1354613190840 is an equidigital number, since it uses as much as digits as its factorization.

1354613190840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 140 counting only the distinct ones).

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

The spelling of 1354613190840 in words is "one trillion, three hundred fifty-four billion, six hundred thirteen million, one hundred ninety thousand, eight hundred forty".