61965461040 has 960 divisors, whose sum is σ = 252600975360. Its totient is φ = 12270551040.

The previous prime is 61965461029. The next prime is 61965461087. The reversal of 61965461040 is 4016456916.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 61965460983 and 61965461001.

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, 346175671 + ... + 346175849.

It is an arithmetic number, because the mean of its divisors is an integer number (263126016).

Almost surely, 2^61965461040 is an apocalyptic number.

61965461040 is a gapful number since it is divisible by the number (60) 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 61965461040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126300487680).

61965461040 is an abundant number, since it is smaller than the sum of its proper divisors (190635514320).

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

61965461040 is a wasteful number, since it uses less digits than its factorization.

61965461040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 61965461040 in words is "sixty-one billion, nine hundred sixty-five million, four hundred sixty-one thousand, forty".