61362433440 has 1728 divisors, whose sum is σ = 291584603520. Its totient is φ = 11914076160.

The previous prime is 61362433427. The next prime is 61362433481. The reversal of 61362433440 is 4433426316.

61362433440 is a `hidden beast` number, since 613 + 6 + 2 + 4 + 3 + 34 + 4 + 0 = 666.

61362433440 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 61362433395 and 61362433404.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 840581244 + ... + 840581316.

It is an arithmetic number, because the mean of its divisors is an integer number (168741090).

Almost surely, 2^61362433440 is an apocalyptic number.

61362433440 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 61362433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145792301760).

61362433440 is an abundant number, since it is smaller than the sum of its proper divisors (230222170080).

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

61362433440 is a wasteful number, since it uses less digits than its factorization.

61362433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 61362433440 its reverse (4433426316), we get a palindrome (65795859756).

The spelling of 61362433440 in words is "sixty-one billion, three hundred sixty-two million, four hundred thirty-three thousand, four hundred forty".