24132042301440 has 448 divisors, whose sum is σ = 79112042228736. Its totient is φ = 6277725683712.

The previous prime is 24132042301417. The next prime is 24132042301459. The reversal of 24132042301440 is 4410324023142.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24132042301398 and 24132042301407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5109470919 + ... + 5109475641.

Almost surely, 2^{24132042301440} is an apocalyptic number.

24132042301440 is a gapful number since it is divisible by the number (20) 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 24132042301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39556021114368).

24132042301440 is an abundant number, since it is smaller than the sum of its proper divisors (54979999927296).

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

24132042301440 is an equidigital number, since it uses as much as digits as its factorization.

24132042301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5767 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 24132042301440 its reverse (4410324023142), we get a palindrome (28542366324582).

The spelling of 24132042301440 in words is "twenty-four trillion, one hundred thirty-two billion, forty-two million, three hundred one thousand, four hundred forty".