1953441400 has 48 divisors (see below), whose sum is σ = 4551818040. Its totient is φ = 779644800.

The previous prime is 1953441397. The next prime is 1953441403. The reversal of 1953441400 is 41443591.

It is an interprime number because it is at equal distance from previous prime (1953441397) and next prime (1953441403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953441403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81607 + ... + 102793.

Almost surely, 2^1953441400 is an apocalyptic number.

1953441400 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 1953441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275909020).

1953441400 is an abundant number, since it is smaller than the sum of its proper divisors (2598376640).

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

1953441400 is a wasteful number, since it uses less digits than its factorization.

1953441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21664 (or 21655 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1953441400 is about 44197.7533365668. The cubic root of 1953441400 is about 1250.0674950221.

Adding to 1953441400 its reverse (41443591), we get a palindrome (1994884991).

The spelling of 1953441400 in words is "one billion, nine hundred fifty-three million, four hundred forty-one thousand, four hundred".