61303016040 has 384 divisors, whose sum is σ = 219178224000. Its totient is φ = 13671770112.

The previous prime is 61303015999. The next prime is 61303016041. The reversal of 61303016040 is 4061030316.

61303016040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61303016040.

It is not an unprimeable number, because it can be changed into a prime (61303016041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 71365131 + ... + 71365989.

It is an arithmetic number, because the mean of its divisors is an integer number (570776625).

Almost surely, 2^61303016040 is an apocalyptic number.

61303016040 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 61303016040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109589112000).

61303016040 is an abundant number, since it is smaller than the sum of its proper divisors (157875207960).

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

61303016040 is a wasteful number, since it uses less digits than its factorization.

61303016040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 61303016040 its reverse (4061030316), we get a palindrome (65364046356).

The spelling of 61303016040 in words is "sixty-one billion, three hundred three million, sixteen thousand, forty".