4965961140 has 144 divisors (see below), whose sum is σ = 17540385408. Its totient is φ = 1113645312.

The previous prime is 4965961127. The next prime is 4965961151. The reversal of 4965961140 is 411695694.

It is a happy number.

4965961140 is a `hidden beast` number, since 4 + 9 + 6 + 596 + 11 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29599 + ... + 103961.

It is an arithmetic number, because the mean of its divisors is an integer number (121808232).

Almost surely, 2^4965961140 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 4965961140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770192704).

4965961140 is an abundant number, since it is smaller than the sum of its proper divisors (12574424268).

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

4965961140 is a wasteful number, since it uses less digits than its factorization.

4965961140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74438 (or 74433 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 4965961140 is about 70469.5759885073. The cubic root of 4965961140 is about 1706.0867321940.

The spelling of 4965961140 in words is "four billion, nine hundred sixty-five million, nine hundred sixty-one thousand, one hundred forty".