61229402619840 has 672 divisors, whose sum is σ = 259665495538176. Its totient is φ = 12895753789440.

The previous prime is 61229402619829. The next prime is 61229402619871. The reversal of 61229402619840 is 4891620492216.

61229402619840 is a `hidden beast` number, since 6 + 1 + 2 + 2 + 9 + 402 + 6 + 198 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147343555 + ... + 147758525.

It is an arithmetic number, because the mean of its divisors is an integer number (386406987408).

Almost surely, 2^{61229402619840} is an apocalyptic number.

61229402619840 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 61229402619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129832747769088).

61229402619840 is an abundant number, since it is smaller than the sum of its proper divisors (198436092918336).

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

61229402619840 is a wasteful number, since it uses less digits than its factorization.

61229402619840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415577 (or 415564 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 61229402619840 in words is "sixty-one trillion, two hundred twenty-nine billion, four hundred two million, six hundred nineteen thousand, eight hundred forty".