61493351040 has 512 divisors, whose sum is σ = 250107264000. Its totient is φ = 14122045440.

The previous prime is 61493351027. The next prime is 61493351047. The reversal of 61493351040 is 4015339416.

61493351040 is a `hidden beast` number, since 6 + 14 + 93 + 3 + 510 + 40 = 666.

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 = 61493350986 and 61493351004.

It is not an unprimeable number, because it can be changed into a prime (61493351047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3603007 + ... + 3620033.

It is an arithmetic number, because the mean of its divisors is an integer number (488490750).

Almost surely, 2^61493351040 is an apocalyptic number.

61493351040 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 61493351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125053632000).

61493351040 is an abundant number, since it is smaller than the sum of its proper divisors (188613912960).

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

61493351040 is a wasteful number, since it uses less digits than its factorization.

61493351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17085 (or 17067 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 61493351040 in words is "sixty-one billion, four hundred ninety-three million, three hundred fifty-one thousand, forty".