1950741636480 has 2304 divisors, whose sum is σ = 9040388797440. Its totient is φ = 392836055040.

The previous prime is 1950741636461. The next prime is 1950741636491. The reversal of 1950741636480 is 846361470591.

1950741636480 is a `hidden beast` number, since 1 + 9 + 50 + 74 + 16 + 36 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4231543450 + ... + 4231543910.

It is an arithmetic number, because the mean of its divisors is an integer number (3923779860).

Almost surely, 2^{1950741636480} is an apocalyptic number.

1950741636480 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 1950741636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520194398720).

1950741636480 is an abundant number, since it is smaller than the sum of its proper divisors (7089647160960).

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

1950741636480 is a wasteful number, since it uses less digits than its factorization.

1950741636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1950741636480 in words is "one trillion, nine hundred fifty billion, seven hundred forty-one million, six hundred thirty-six thousand, four hundred eighty".