4089900564360 has 1024 divisors, whose sum is σ = 15742992384000. Its totient is φ = 947807308800.

The previous prime is 4089900564349. The next prime is 4089900564377. The reversal of 4089900564360 is 634650099804.

4089900564360 is a `hidden beast` number, since 40 + 8 + 9 + 9 + 0 + 0 + 564 + 36 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4089900564297 and 4089900564306.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4127043465 + ... + 4127044455.

It is an arithmetic number, because the mean of its divisors is an integer number (15374016000).

Almost surely, 2^{4089900564360} is an apocalyptic number.

4089900564360 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 4089900564360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7871496192000).

4089900564360 is an abundant number, since it is smaller than the sum of its proper divisors (11653091819640).

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

4089900564360 is a wasteful number, since it uses less digits than its factorization.

4089900564360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4089900564360 in words is "four trillion, eighty-nine billion, nine hundred million, five hundred sixty-four thousand, three hundred sixty".