10061629440 has 192 divisors, whose sum is σ = 32500802880. Its totient is φ = 2657157120.

The previous prime is 10061629411. The next prime is 10061629441. The reversal of 10061629440 is 4492616001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061629441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3285510 + ... + 3288570.

It is an arithmetic number, because the mean of its divisors is an integer number (169275015).

Almost surely, 2^10061629440 is an apocalyptic number.

10061629440 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 10061629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16250401440).

10061629440 is an abundant number, since it is smaller than the sum of its proper divisors (22439173440).

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

10061629440 is a wasteful number, since it uses less digits than its factorization.

10061629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 10061629440 in words is "ten billion, sixty-one million, six hundred twenty-nine thousand, four hundred forty".