24128342465040 has 320 divisors, whose sum is σ = 93114458507520. Its totient is φ = 5691205877760.

The previous prime is 24128342464991. The next prime is 24128342465047. The reversal of 24128342465040 is 4056424382142.

24128342465040 is a `hidden beast` number, since 2 + 4 + 128 + 3 + 424 + 65 + 0 + 40 = 666.

It is a super-2 number, since 2×24128342465040² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (24128342465047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12843889 + ... + 14602128.

It is an arithmetic number, because the mean of its divisors is an integer number (290982682836).

Almost surely, 2^{24128342465040} is an apocalyptic number.

24128342465040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24128342465040 is an abundant number, since it is smaller than the sum of its proper divisors (68986116042480).

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

24128342465040 is a wasteful number, since it uses less digits than its factorization.

24128342465040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27446087 (or 27446075 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 24128342465040 in words is "twenty-four trillion, one hundred twenty-eight billion, three hundred forty-two million, four hundred sixty-five thousand, forty".