1951954441320 has 512 divisors, whose sum is σ = 6820402176000. Its totient is φ = 445453931520.

The previous prime is 1951954441303. The next prime is 1951954441321. The reversal of 1951954441320 is 231444591591.

It is a super-2 number, since 2×1951954441320² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1951954441320.

It is not an unprimeable number, because it can be changed into a prime (1951954441321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 235426375 + ... + 235434665.

It is an arithmetic number, because the mean of its divisors is an integer number (13321098000).

Almost surely, 2^{1951954441320} is an apocalyptic number.

1951954441320 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 1951954441320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410201088000).

1951954441320 is an abundant number, since it is smaller than the sum of its proper divisors (4868447734680).

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

1951954441320 is a wasteful number, since it uses less digits than its factorization.

1951954441320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410 (or 8380 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 1951954441320 in words is "one trillion, nine hundred fifty-one billion, nine hundred fifty-four million, four hundred forty-one thousand, three hundred twenty".