2423115901440 has 1440 divisors, whose sum is σ = 9703854944784. Its totient is φ = 555118755840.

The previous prime is 2423115901343. The next prime is 2423115901447. The reversal of 2423115901440 is 441095113242.

2423115901440 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 11 + 590 + 14 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 158837319936 + 2264278581504 = 398544^2 + 1504752^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2423115901440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2423115901395 and 2423115901404.

It is not an unprimeable number, because it can be changed into a prime (2423115901447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6496289094 + ... + 6496289466.

Almost surely, 2^{2423115901440} is an apocalyptic number.

2423115901440 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 2423115901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4851927472392).

2423115901440 is an abundant number, since it is smaller than the sum of its proper divisors (7280739043344).

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

2423115901440 is a wasteful number, since it uses less digits than its factorization.

2423115901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 2423115901440 in words is "two trillion, four hundred twenty-three billion, one hundred fifteen million, nine hundred one thousand, four hundred forty".