1930813459440 has 320 divisors, whose sum is σ = 6616656792576. Its totient is φ = 463281831936.

The previous prime is 1930813459439. The next prime is 1930813459453. The reversal of 1930813459440 is 449543180391.

It is a happy number.

It is a super-2 number, since 2×1930813459440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228683859 + ... + 228692301.

Almost surely, 2^{1930813459440} is an apocalyptic number.

1930813459440 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 1930813459440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308328396288).

1930813459440 is an abundant number, since it is smaller than the sum of its proper divisors (4685843333136).

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

1930813459440 is a wasteful number, since it uses less digits than its factorization.

1930813459440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10936 (or 10930 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 1930813459440 in words is "one trillion, nine hundred thirty billion, eight hundred thirteen million, four hundred fifty-nine thousand, four hundred forty".