61319040000 has 440 divisors, whose sum is σ = 206808737520. Its totient is φ = 16146432000.

The previous prime is 61319039993. The next prime is 61319040011. The reversal of 61319040000 is 4091316.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209279854 + ... + 209280146.

It is an arithmetic number, because the mean of its divisors is an integer number (470019858).

Almost surely, 2^61319040000 is an apocalyptic number.

61319040000 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 61319040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103404368760).

61319040000 is an abundant number, since it is smaller than the sum of its proper divisors (145489697520).

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

61319040000 is a wasteful number, since it uses less digits than its factorization.

61319040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

It can be divided in two parts, 6131 and 9040000, that added together give a triangular number (9046131 = T₄₂₅₃).

The spelling of 61319040000 in words is "sixty-one billion, three hundred nineteen million, forty thousand".