1950483939840 has 1120 divisors, whose sum is σ = 7228366104960. Its totient is φ = 504368529408.

The previous prime is 1950483939827. The next prime is 1950483939853. The reversal of 1950483939840 is 489393840591.

1950483939840 is a `hidden beast` number, since 1 + 9 + 504 + 8 + 39 + 3 + 98 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1950483939827) and next prime (1950483939853).

It is a super-3 number, since 3×1950483939840³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 14032258491 + ... + 14032258629.

It is an arithmetic number, because the mean of its divisors is an integer number (6453898308).

Almost surely, 2^{1950483939840} is an apocalyptic number.

1950483939840 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 1950483939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614183052480).

1950483939840 is an abundant number, since it is smaller than the sum of its proper divisors (5277882165120).

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

1950483939840 is an equidigital number, since it uses as much as digits as its factorization.

1950483939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 1950483939840 in words is "one trillion, nine hundred fifty billion, four hundred eighty-three million, nine hundred thirty-nine thousand, eight hundred forty".