10061920440 has 896 divisors, whose sum is σ = 42306969600. Its totient is φ = 2116316160.

The previous prime is 10061920397. The next prime is 10061920447. The reversal of 10061920440 is 4402916001.

10061920440 is a `hidden beast` number, since 1 + 0 + 0 + 619 + 2 + 0 + 4 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061920447) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 79227657 + ... + 79227783.

It is an arithmetic number, because the mean of its divisors is an integer number (47217600).

Almost surely, 2^10061920440 is an apocalyptic number.

10061920440 is a gapful number since it is divisible by the number (10) 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 10061920440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153484800).

10061920440 is an abundant number, since it is smaller than the sum of its proper divisors (32245049160).

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

10061920440 is a wasteful number, since it uses less digits than its factorization.

10061920440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10061920440 in words is "ten billion, sixty-one million, nine hundred twenty thousand, four hundred forty".