1913829949440 has 960 divisors, whose sum is σ = 7303285935000. Its totient is φ = 479371198464.

The previous prime is 1913829949397. The next prime is 1913829949459. The reversal of 1913829949440 is 449499283191.

1913829949440 is a `hidden beast` number, since 1 + 9 + 13 + 8 + 2 + 99 + 494 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3835330311 + ... + 3835330809.

Almost surely, 2^{1913829949440} is an apocalyptic number.

1913829949440 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 1913829949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651642967500).

1913829949440 is an abundant number, since it is smaller than the sum of its proper divisors (5389455985560).

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

1913829949440 is an frugal number, since it uses more digits than its factorization.

1913829949440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1913829949440 in words is "one trillion, nine hundred thirteen billion, eight hundred twenty-nine million, nine hundred forty-nine thousand, four hundred forty".