61228440000 has 1680 divisors, whose sum is σ = 284944413600. Its totient is φ = 12773376000.

The previous prime is 61228439999. The next prime is 61228440019. The reversal of 61228440000 is 4482216.

61228440000 is a `hidden beast` number, since 612 + 2 + 8 + 4 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 687959956 + ... + 687960044.

It is an arithmetic number, because the mean of its divisors is an integer number (169609770).

Almost surely, 2^61228440000 is an apocalyptic number.

61228440000 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 61228440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142472206800).

61228440000 is an abundant number, since it is smaller than the sum of its proper divisors (223715973600).

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

61228440000 is a wasteful number, since it uses less digits than its factorization.

61228440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 61228440000 in words is "sixty-one billion, two hundred twenty-eight million, four hundred forty thousand".