10041262440 has 384 divisors, whose sum is σ = 34459810560. Its totient is φ = 2337280000.

The previous prime is 10041262423. The next prime is 10041262457. The reversal of 10041262440 is 4426214001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10041262423) and next prime (10041262457).

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 10041262440.

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, 60127237 + ... + 60127403.

It is an arithmetic number, because the mean of its divisors is an integer number (89739090).

Almost surely, 2^10041262440 is an apocalyptic number.

10041262440 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 10041262440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17229905280).

10041262440 is an abundant number, since it is smaller than the sum of its proper divisors (24418548120).

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

10041262440 is a wasteful number, since it uses less digits than its factorization.

10041262440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10041262440 its reverse (4426214001), we get a palindrome (14467476441).

The spelling of 10041262440 in words is "ten billion, forty-one million, two hundred sixty-two thousand, four hundred forty".