4288498698960 has 1920 divisors, whose sum is σ = 18211555814400. Its totient is φ = 882895749120.

The previous prime is 4288498698919. The next prime is 4288498698961. The reversal of 4288498698960 is 698968948824.

4288498698960 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 498 + 69 + 8 + 9 + 60 = 666.

It is a super-2 number, since 2×4288498698960² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4288498698960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4288498698961) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37951315864 + ... + 37951315976.

It is an arithmetic number, because the mean of its divisors is an integer number (9485185320).

Almost surely, 2^{4288498698960} is an apocalyptic number.

4288498698960 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 4288498698960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9105777907200).

4288498698960 is an abundant number, since it is smaller than the sum of its proper divisors (13923057115440).

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

4288498698960 is a wasteful number, since it uses less digits than its factorization.

4288498698960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3439853568, while the sum is 81.

The spelling of 4288498698960 in words is "four trillion, two hundred eighty-eight billion, four hundred ninety-eight million, six hundred ninety-eight thousand, nine hundred sixty".