10629289440 has 576 divisors, whose sum is σ = 47891450880. Its totient is φ = 2078392320.

The previous prime is 10629289439. The next prime is 10629289459. The reversal of 10629289440 is 4498292601.

10629289440 is a `hidden beast` number, since 10 + 629 + 2 + 8 + 9 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×10629289440² (a number of 21 digits) contains 22 as substring.

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

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, 1882141 + ... + 1887779.

It is an arithmetic number, because the mean of its divisors is an integer number (83144880).

Almost surely, 2^10629289440 is an apocalyptic number.

10629289440 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 10629289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23945725440).

10629289440 is an abundant number, since it is smaller than the sum of its proper divisors (37262161440).

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

10629289440 is a wasteful number, since it uses less digits than its factorization.

10629289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5695 (or 5684 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 10629289440 in words is "ten billion, six hundred twenty-nine million, two hundred eighty-nine thousand, four hundred forty".