61954129440 has 288 divisors, whose sum is σ = 242273566080. Its totient is φ = 14122708992.

The previous prime is 61954129429. The next prime is 61954129459. The reversal of 61954129440 is 4492145916.

61954129440 is a `hidden beast` number, since 6 + 19 + 541 + 2 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3812212 + ... + 3828428.

It is an arithmetic number, because the mean of its divisors is an integer number (841227660).

Almost surely, 2^61954129440 is an apocalyptic number.

61954129440 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 61954129440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121136783040).

61954129440 is an abundant number, since it is smaller than the sum of its proper divisors (180319436640).

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

61954129440 is a wasteful number, since it uses less digits than its factorization.

61954129440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16624 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 61954129440 in words is "sixty-one billion, nine hundred fifty-four million, one hundred twenty-nine thousand, four hundred forty".