953666461440 has 1728 divisors, whose sum is σ = 4310020915200. Its totient is φ = 188913254400.

The previous prime is 953666461427. The next prime is 953666461507. The reversal of 953666461440 is 44164666359.

953666461440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2172360741 + ... + 2172361179.

Almost surely, 2^953666461440 is an apocalyptic number.

953666461440 is a gapful number since it is divisible by the number (90) 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 953666461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155010457600).

953666461440 is an abundant number, since it is smaller than the sum of its proper divisors (3356354453760).

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

953666461440 is a wasteful number, since it uses less digits than its factorization.

953666461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 953666461440 in words is "nine hundred fifty-three billion, six hundred sixty-six million, four hundred sixty-one thousand, four hundred forty".