1950815430144 has 960 divisors, whose sum is σ = 6998993464320. Its totient is φ = 510480875520.

The previous prime is 1950815430121. The next prime is 1950815430173. The reversal of 1950815430144 is 4410345180591.

1950815430144 is a `hidden beast` number, since 1 + 95 + 0 + 8 + 1 + 543 + 0 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1950815430144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3465036007 + ... + 3465036569.

It is an arithmetic number, because the mean of its divisors is an integer number (7290618192).

Almost surely, 2^{1950815430144} is an apocalyptic number.

1950815430144 is a gapful number since it is divisible by the number (14) 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 1950815430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499496732160).

1950815430144 is an abundant number, since it is smaller than the sum of its proper divisors (5048178034176).

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

1950815430144 is a wasteful number, since it uses less digits than its factorization.

1950815430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1950815430144 in words is "one trillion, nine hundred fifty billion, eight hundred fifteen million, four hundred thirty thousand, one hundred forty-four".