4288130918400 has 1152 divisors, whose sum is σ = 17227147392000. Its totient is φ = 918568304640.

The previous prime is 4288130918371. The next prime is 4288130918419. The reversal of 4288130918400 is 48190318824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4288130918400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6927513291 + ... + 6927513909.

It is an arithmetic number, because the mean of its divisors is an integer number (14954121000).

Almost surely, 2^{4288130918400} is an apocalyptic number.

4288130918400 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 4288130918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8613573696000).

4288130918400 is an abundant number, since it is smaller than the sum of its proper divisors (12939016473600).

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

4288130918400 is a wasteful number, since it uses less digits than its factorization.

4288130918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 4288130918400 in words is "four trillion, two hundred eighty-eight billion, one hundred thirty million, nine hundred eighteen thousand, four hundred".