953459841340 has 96 divisors (see below), whose sum is σ = 2138918068224. Its totient is φ = 355765862400.

The previous prime is 953459841329. The next prime is 953459841361. The reversal of 953459841340 is 43148954359.

It is a super-3 number, since 3×953459841340³ (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21383109 + ... + 21427651.

It is an arithmetic number, because the mean of its divisors is an integer number (22280396544).

Almost surely, 2^953459841340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 953459841340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069459034112).

953459841340 is an abundant number, since it is smaller than the sum of its proper divisors (1185458226884).

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

953459841340 is a wasteful number, since it uses less digits than its factorization.

953459841340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45127 (or 45125 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 953459841340 in words is "nine hundred fifty-three billion, four hundred fifty-nine million, eight hundred forty-one thousand, three hundred forty".