61441405740 has 192 divisors, whose sum is σ = 224569336320. Its totient is φ = 13749108480.

The previous prime is 61441405717. The next prime is 61441405801. The reversal of 61441405740 is 4750414416.

It is a happy number.

61441405740 is a `hidden beast` number, since 6 + 1 + 4 + 41 + 40 + 574 + 0 = 666.

61441405740 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 = 61441405695 and 61441405704.

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, 320614 + ... + 475053.

It is an arithmetic number, because the mean of its divisors is an integer number (1169631960).

Almost surely, 2^61441405740 is an apocalyptic number.

61441405740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61441405740 is an abundant number, since it is smaller than the sum of its proper divisors (163127930580).

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

61441405740 is a wasteful number, since it uses less digits than its factorization.

61441405740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795709 (or 795701 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 61441405740 in words is "sixty-one billion, four hundred forty-one million, four hundred five thousand, seven hundred forty".