61414343640 has 256 divisors, whose sum is σ = 221517273600. Its totient is φ = 15045004800.

The previous prime is 61414343621. The next prime is 61414343651. The reversal of 61414343640 is 4634341416.

61414343640 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 4 + 3 + 4 + 3 + 640 = 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 = 61414343595 and 61414343604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2952075 + ... + 2972805.

It is an arithmetic number, because the mean of its divisors is an integer number (865301850).

Almost surely, 2^61414343640 is an apocalyptic number.

61414343640 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 61414343640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110758636800).

61414343640 is an abundant number, since it is smaller than the sum of its proper divisors (160102929960).

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

61414343640 is a wasteful number, since it uses less digits than its factorization.

61414343640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20975 (or 20965 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 61414343640 in words is "sixty-one billion, four hundred fourteen million, three hundred forty-three thousand, six hundred forty".