1954090844160 has 1216 divisors, whose sum is σ = 7937084424192. Its totient is φ = 399532621824.

The previous prime is 1954090844159. The next prime is 1954090844161. The reversal of 1954090844160 is 614480904591.

It is an interprime number because it is at equal distance from previous prime (1954090844159) and next prime (1954090844161).

It is a super-2 number, since 2×1954090844160² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954090844161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15386542017 + ... + 15386542143.

Almost surely, 2^{1954090844160} is an apocalyptic number.

1954090844160 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 1954090844160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3968542212096).

1954090844160 is an abundant number, since it is smaller than the sum of its proper divisors (5982993580032).

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

1954090844160 is an equidigital number, since it uses as much as digits as its factorization.

1954090844160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 1954090844160 in words is "one trillion, nine hundred fifty-four billion, ninety million, eight hundred forty-four thousand, one hundred sixty".