1950526450400 has 144 divisors (see below), whose sum is σ = 5198134798080. Its totient is φ = 708800601600.

The previous prime is 1950526450319. The next prime is 1950526450451. The reversal of 1950526450400 is 40546250591.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13011071 + ... + 13160129.

It is an arithmetic number, because the mean of its divisors is an integer number (36098158320).

Almost surely, 2^{1950526450400} is an apocalyptic number.

1950526450400 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 1950526450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599067399040).

1950526450400 is an abundant number, since it is smaller than the sum of its proper divisors (3247608347680).

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

1950526450400 is a wasteful number, since it uses less digits than its factorization.

1950526450400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150577 (or 150564 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 1950526450400 in words is "one trillion, nine hundred fifty billion, five hundred twenty-six million, four hundred fifty thousand, four hundred".