61340891040 has 1152 divisors, whose sum is σ = 258245874432. Its totient is φ = 13058703360.

The previous prime is 61340890991. The next prime is 61340891041. The reversal of 61340891040 is 4019804316.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61340890986 and 61340891004.

It is not an unprimeable number, because it can be changed into a prime (61340891041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 632380272 + ... + 632380368.

It is an arithmetic number, because the mean of its divisors is an integer number (224171766).

Almost surely, 2^61340891040 is an apocalyptic number.

61340891040 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 61340891040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129122937216).

61340891040 is an abundant number, since it is smaller than the sum of its proper divisors (196904983392).

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

61340891040 is a wasteful number, since it uses less digits than its factorization.

61340891040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 61340891040 in words is "sixty-one billion, three hundred forty million, eight hundred ninety-one thousand, forty".