1953440203968 has 784 divisors, whose sum is σ = 6588303206400. Its totient is φ = 569053900800.

The previous prime is 1953440203889. The next prime is 1953440204039. The reversal of 1953440203968 is 8693020443591.

1953440203968 is a `hidden beast` number, since 1 + 9 + 5 + 344 + 0 + 203 + 96 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3166029196 + ... + 3166029812.

Almost surely, 2^{1953440203968} is an apocalyptic number.

1953440203968 is a gapful number since it is divisible by the number (18) 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 1953440203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294151603200).

1953440203968 is an abundant number, since it is smaller than the sum of its proper divisors (4634863002432).

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

1953440203968 is a wasteful number, since it uses less digits than its factorization.

1953440203968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1953440203968 in words is "one trillion, nine hundred fifty-three billion, four hundred forty million, two hundred three thousand, nine hundred sixty-eight".