1950200007840 has 2304 divisors, whose sum is σ = 8781170549760. Its totient is φ = 401316249600.

The previous prime is 1950200007827. The next prime is 1950200007841. The reversal of 1950200007840 is 487000020591.

It is a super-2 number, since 2×1950200007840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1950200007795 and 1950200007804.

It is not an unprimeable number, because it can be changed into a prime (1950200007841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12915231765 + ... + 12915231915.

It is an arithmetic number, because the mean of its divisors is an integer number (3811271940).

Almost surely, 2^{1950200007840} is an apocalyptic number.

1950200007840 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 1950200007840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390585274880).

1950200007840 is an abundant number, since it is smaller than the sum of its proper divisors (6830970541920).

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

1950200007840 is a wasteful number, since it uses less digits than its factorization.

1950200007840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1950200007840 in words is "one trillion, nine hundred fifty billion, two hundred million, seven thousand, eight hundred forty".