61415101440 has 1056 divisors, whose sum is σ = 279581552640. Its totient is φ = 12076646400.

The previous prime is 61415101427. The next prime is 61415101441. The reversal of 61415101440 is 4410151416.

61415101440 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 510 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61415101441) 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, 67414585 + ... + 67415495.

Almost surely, 2^61415101440 is an apocalyptic number.

61415101440 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 61415101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139790776320).

61415101440 is an abundant number, since it is smaller than the sum of its proper divisors (218166451200).

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

61415101440 is a wasteful number, since it uses less digits than its factorization.

61415101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 61415101440 its reverse (4410151416), we get a palindrome (65825252856).

The spelling of 61415101440 in words is "sixty-one billion, four hundred fifteen million, one hundred one thousand, four hundred forty".