1950799334400 has 1848 divisors, whose sum is σ = 8422896361440. Its totient is φ = 438581329920.

The previous prime is 1950799334381. The next prime is 1950799334413. The reversal of 1950799334400 is 44339970591.

It is a happy number.

1950799334400 is a `hidden beast` number, since 1 + 9 + 50 + 79 + 93 + 34 + 400 = 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 167 ways as a sum of consecutive naturals, for example, 14239411132 + ... + 14239411268.

Almost surely, 2^{1950799334400} is an apocalyptic number.

1950799334400 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 1950799334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211448180720).

1950799334400 is an abundant number, since it is smaller than the sum of its proper divisors (6472097027040).

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

1950799334400 is a wasteful number, since it uses less digits than its factorization.

1950799334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 1950799334400 in words is "one trillion, nine hundred fifty billion, seven hundred ninety-nine million, three hundred thirty-four thousand, four hundred".