10332541440 has 400 divisors, whose sum is σ = 39865057848. Its totient is φ = 2542731264.

The previous prime is 10332541409. The next prime is 10332541447. The reversal of 10332541440 is 4414523301.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4917936384 + 5414605056 = 70128^2 + 73584^2 .

It is a super-2 number, since 2×10332541440² (a number of 21 digits) contains 22 as substring.

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 (10332541447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2693764 + ... + 2697596.

Almost surely, 2^10332541440 is an apocalyptic number.

10332541440 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 10332541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19932528924).

10332541440 is an abundant number, since it is smaller than the sum of its proper divisors (29532516408).

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

10332541440 is an equidigital number, since it uses as much as digits as its factorization.

10332541440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3881 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 10332541440 in words is "ten billion, three hundred thirty-two million, five hundred forty-one thousand, four hundred forty".