959350465440 has 1152 divisors, whose sum is σ = 3845239776000. Its totient is φ = 221997957120.

The previous prime is 959350465427. The next prime is 959350465511. The reversal of 959350465440 is 44564053959.

959350465440 is a `hidden beast` number, since 9 + 5 + 9 + 3 + 50 + 46 + 544 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 2345599956 + ... + 2345600364.

It is an arithmetic number, because the mean of its divisors is an integer number (3337881750).

Almost surely, 2^959350465440 is an apocalyptic number.

959350465440 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 959350465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922619888000).

959350465440 is an abundant number, since it is smaller than the sum of its proper divisors (2885889310560).

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

959350465440 is a wasteful number, since it uses less digits than its factorization.

959350465440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 959350465440 in words is "nine hundred fifty-nine billion, three hundred fifty million, four hundred sixty-five thousand, four hundred forty".