4024702402560 has 1632 divisors, whose sum is σ = 17378378833920. Its totient is φ = 840853094400.

The previous prime is 4024702402489. The next prime is 4024702402561. The reversal of 4024702402560 is 652042074204.

4024702402560 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 70 + 24 + 0 + 2 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024702402561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12159221595 + ... + 12159221925.

Almost surely, 2^{4024702402560} is an apocalyptic number.

4024702402560 is a gapful number since it is divisible by the number (40) 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 4024702402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689189416960).

4024702402560 is an abundant number, since it is smaller than the sum of its proper divisors (13353676431360).

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

4024702402560 is a wasteful number, since it uses less digits than its factorization.

4024702402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 4024702402560 its reverse (652042074204), we get a palindrome (4676744476764).

The spelling of 4024702402560 in words is "four trillion, twenty-four billion, seven hundred two million, four hundred two thousand, five hundred sixty".