934142961960 has 448 divisors, whose sum is σ = 3485471809680. Its totient is φ = 223724851200.

The previous prime is 934142961959. The next prime is 934142961979. The reversal of 934142961960 is 69169241439.

It is a happy number.

934142961960 is a `hidden beast` number, since 9 + 3 + 4 + 14 + 2 + 9 + 619 + 6 + 0 = 666.

934142961960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 577511843364 + 356631118596 = 759942^2 + 597186^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 934142961897 and 934142961906.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13992660 + ... + 14059260.

Almost surely, 2^934142961960 is an apocalyptic number.

934142961960 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 934142961960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742735904840).

934142961960 is an abundant number, since it is smaller than the sum of its proper divisors (2551328847720).

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

934142961960 is a wasteful number, since it uses less digits than its factorization.

934142961960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66680 (or 66661 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 934142961960 in words is "nine hundred thirty-four billion, one hundred forty-two million, nine hundred sixty-one thousand, nine hundred sixty".