10141232640 has 480 divisors, whose sum is σ = 40752391680. Its totient is φ = 2105917440.

The previous prime is 10141232599. The next prime is 10141232659. The reversal of 10141232640 is 4623214101.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10141232640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6504181 + ... + 6505739.

It is an arithmetic number, because the mean of its divisors is an integer number (84900816).

Almost surely, 2^10141232640 is an apocalyptic number.

10141232640 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 10141232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20376195840).

10141232640 is an abundant number, since it is smaller than the sum of its proper divisors (30611159040).

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

10141232640 is a wasteful number, since it uses less digits than its factorization.

10141232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10141232640 its reverse (4623214101), we get a palindrome (14764446741).

The spelling of 10141232640 in words is "ten billion, one hundred forty-one million, two hundred thirty-two thousand, six hundred forty".